Glencoe Geometry
Glencoe Geometry
14th Edition
ISBN: 9780076639304
Author: Cuevas, day Carter
Publisher: Not Avail
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Chapter 11.2, Problem 37HP
To determine

To explain: The perimeters of two rhombi having equal areas.

Expert Solution & Answer
Check Mark

Answer to Problem 37HP

The perimeters of two rhombi having equal areas can be equal only when both rhombi are congruent.

Explanation of Solution

Given information: Areas of two rhombi are equal.

If the areas of two rhombi are equal. Then, the perimeters of two rhombi could be equal only when both rhombi are congruent. If both rhombi are not congruent, they have different length of sides.

Since, Area of rhombus = Base × Height

So, base and height are the factors of the area. If the factors are different, the lengths of sides are different.

Thus, the perimeters of two rhombi having equal areas can be equal only when both rhombi are congruent.

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Chapter 11.2, Problem 36HP
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Chapter 11 Solutions

Glencoe Geometry

Ch. 11.1 - Prob. 1ACYPCh. 11.1 - Prob. 1BCYPCh. 11.1 - Prob. 2ACYPCh. 11.1 - Prob. 2BCYPCh. 11.1 - Prob. 3ACYPCh. 11.1 - Prob. 3BCYPCh. 11.1 - Prob. 4ACYPCh. 11.1 - Prob. 4BCYPCh. 11.1 - Prob. 4CCYPCh. 11.1 - Prob. 1CYU
Ch. 11.1 - Prob. 2CYUCh. 11.1 - Prob. 3CYUCh. 11.1 - Prob. 4CYUCh. 11.1 - Prob. 5CYUCh. 11.1 - Prob. 6CYUCh. 11.1 - Prob. 7CYUCh. 11.1 - Prob. 8CYUCh. 11.1 - Prob. 9CYUCh. 11.1 - Prob. 10PPSCh. 11.1 - Prob. 11PPSCh. 11.1 - Prob. 12PPSCh. 11.1 - Prob. 13PPSCh. 11.1 - Prob. 14PPSCh. 11.1 - Prob. 15PPSCh. 11.1 - Prob. 16PPSCh. 11.1 - Prob. 17PPSCh. 11.1 - Prob. 18PPSCh. 11.1 - Prob. 19PPSCh. 11.1 - Prob. 20PPSCh. 11.1 - Prob. 21PPSCh. 11.1 - Prob. 22PPSCh. 11.1 - Prob. 23PPSCh. 11.1 - Prob. 24PPSCh. 11.1 - Prob. 25PPSCh. 11.1 - Prob. 26PPSCh. 11.1 - Prob. 27PPSCh. 11.1 - Prob. 28PPSCh. 11.1 - Prob. 29PPSCh. 11.1 - Prob. 30PPSCh. 11.1 - Prob. 31PPSCh. 11.1 - Prob. 32PPSCh. 11.1 - Prob. 33PPSCh. 11.1 - Prob. 34PPSCh. 11.1 - Prob. 35PPSCh. 11.1 - Prob. 36PPSCh. 11.1 - Prob. 37HPCh. 11.1 - Prob. 38HPCh. 11.1 - Prob. 39HPCh. 11.1 - Prob. 40HPCh. 11.1 - Prob. 41HPCh. 11.1 - Prob. 42STPCh. 11.1 - Prob. 43STPCh. 11.1 - Prob. 44STPCh. 11.1 - Prob. 45STPCh. 11.1 - Prob. 46SPRCh. 11.1 - Prob. 47SPRCh. 11.1 - Prob. 48SPRCh. 11.1 - Prob. 49SPRCh. 11.1 - Prob. 50SPRCh. 11.1 - Prob. 51SPRCh. 11.1 - Prob. 52SPRCh. 11.1 - Prob. 53SPRCh. 11.1 - Prob. 54SRCh. 11.1 - Prob. 55SRCh. 11.1 - Prob. 56SRCh. 11.1 - Prob. 57SRCh. 11.1 - Prob. 58SRCh. 11.2 - Prob. 1CYPCh. 11.2 - Prob. 2CYPCh. 11.2 - Prob. 3ACYPCh. 11.2 - Prob. 3BCYPCh. 11.2 - Prob. 4ACYPCh. 11.2 - Prob. 4BCYPCh. 11.2 - Prob. 4CCYPCh. 11.2 - Prob. 1CYUCh. 11.2 - Prob. 2CYUCh. 11.2 - Prob. 3CYUCh. 11.2 - Prob. 4CYUCh. 11.2 - Prob. 5CYUCh. 11.2 - Prob. 6CYUCh. 11.2 - Prob. 7CYUCh. 11.2 - Prob. 8PPSCh. 11.2 - Prob. 9PPSCh. 11.2 - Prob. 10PPSCh. 11.2 - Prob. 11PPSCh. 11.2 - Prob. 12PPSCh. 11.2 - Prob. 13PPSCh. 11.2 - Prob. 14PPSCh. 11.2 - Prob. 15PPSCh. 11.2 - Prob. 16PPSCh. 11.2 - Prob. 17PPSCh. 11.2 - Prob. 18PPSCh. 11.2 - Prob. 19PPSCh. 11.2 - Prob. 20PPSCh. 11.2 - Prob. 21PPSCh. 11.2 - Prob. 22PPSCh. 11.2 - Prob. 23PPSCh. 11.2 - Prob. 24PPSCh. 11.2 - Prob. 25PPSCh. 11.2 - Prob. 26PPSCh. 11.2 - Prob. 27PPSCh. 11.2 - Prob. 28PPSCh. 11.2 - Prob. 29PPSCh. 11.2 - Prob. 30PPSCh. 11.2 - Prob. 31PPSCh. 11.2 - Prob. 32PPSCh. 11.2 - Prob. 33PPSCh. 11.2 - Prob. 34PPSCh. 11.2 - Prob. 35HPCh. 11.2 - Prob. 36HPCh. 11.2 - Prob. 37HPCh. 11.2 - Prob. 38HPCh. 11.2 - Prob. 39STPCh. 11.2 - Prob. 40STPCh. 11.2 - Prob. 41STPCh. 11.2 - Prob. 42STPCh. 11.2 - Prob. 43SPRCh. 11.2 - Prob. 44SPRCh. 11.2 - Prob. 45SPRCh. 11.2 - Prob. 46SPRCh. 11.2 - Prob. 47SPRCh. 11.2 - Prob. 48SPRCh. 11.2 - Prob. 49SPRCh. 11.2 - Prob. 50SPRCh. 11.2 - Prob. 51SPRCh. 11.2 - Prob. 52SPRCh. 11.2 - Prob. 53SRCh. 11.2 - Prob. 54SRCh. 11.2 - Prob. 55SRCh. 11.3 - Prob. 1CYPCh. 11.3 - Prob. 2CYPCh. 11.3 - Prob. 3ACYPCh. 11.3 - Prob. 3BCYPCh. 11.3 - Prob. 3CCYPCh. 11.3 - Prob. 3DCYPCh. 11.3 - Prob. 1CYUCh. 11.3 - Prob. 2CYUCh. 11.3 - Prob. 3CYUCh. 11.3 - Prob. 4CYUCh. 11.3 - Prob. 5CYUCh. 11.3 - Prob. 6CYUCh. 11.3 - Prob. 7CYUCh. 11.3 - Prob. 8PPSCh. 11.3 - Prob. 9PPSCh. 11.3 - Prob. 10PPSCh. 11.3 - Prob. 11PPSCh. 11.3 - Prob. 12PPSCh. 11.3 - Prob. 13PPSCh. 11.3 - Prob. 14PPSCh. 11.3 - Prob. 15PPSCh. 11.3 - Prob. 16PPSCh. 11.3 - Prob. 17PPSCh. 11.3 - Prob. 18PPSCh. 11.3 - Prob. 19PPSCh. 11.3 - Prob. 20PPSCh. 11.3 - Prob. 21PPSCh. 11.3 - Prob. 22PPSCh. 11.3 - Prob. 23PPSCh. 11.3 - Prob. 24PPSCh. 11.3 - Prob. 25PPSCh. 11.3 - Prob. 26PPSCh. 11.3 - Prob. 27PPSCh. 11.3 - Prob. 28PPSCh. 11.3 - Prob. 29PPSCh. 11.3 - Prob. 30PPSCh. 11.3 - Prob. 31PPSCh. 11.3 - Prob. 32PPSCh. 11.3 - Prob. 33PPSCh. 11.3 - Prob. 34PPSCh. 11.3 - Prob. 35PPSCh. 11.3 - Prob. 36PPSCh. 11.3 - Prob. 37PPSCh. 11.3 - Prob. 38PPSCh. 11.3 - Prob. 39PPSCh. 11.3 - Prob. 40PPSCh. 11.3 - Prob. 41PPSCh. 11.3 - Prob. 42PPSCh. 11.3 - Prob. 43PPSCh. 11.3 - Prob. 44HPCh. 11.3 - Prob. 45HPCh. 11.3 - Prob. 46HPCh. 11.3 - Prob. 47HPCh. 11.3 - Prob. 48HPCh. 11.3 - Prob. 49HPCh. 11.3 - Prob. 50STPCh. 11.3 - Prob. 51STPCh. 11.3 - Prob. 52STPCh. 11.3 - Prob. 53STPCh. 11.3 - Prob. 54SPRCh. 11.3 - Prob. 55SPRCh. 11.3 - Prob. 56SPRCh. 11.3 - Prob. 57SPRCh. 11.3 - Prob. 58SPRCh. 11.3 - Prob. 59SRCh. 11.3 - Prob. 60SRCh. 11.3 - Prob. 61SRCh. 11.4 - Prob. 1CYPCh. 11.4 - Prob. 2CYPCh. 11.4 - Prob. 3ACYPCh. 11.4 - Prob. 3BCYPCh. 11.4 - Prob. 3CCYPCh. 11.4 - Prob. 4ACYPCh. 11.4 - Prob. 4BCYPCh. 11.4 - Prob. 5ACYPCh. 11.4 - Prob. 5BCYPCh. 11.4 - Prob. 1CYUCh. 11.4 - Prob. 2CYUCh. 11.4 - Prob. 3CYUCh. 11.4 - Prob. 4CYUCh. 11.4 - Prob. 5CYUCh. 11.4 - Prob. 6CYUCh. 11.4 - Prob. 7CYUCh. 11.4 - Prob. 8PPSCh. 11.4 - Prob. 9PPSCh. 11.4 - Prob. 10PPSCh. 11.4 - Prob. 11PPSCh. 11.4 - Prob. 12PPSCh. 11.4 - Prob. 13PPSCh. 11.4 - Prob. 14PPSCh. 11.4 - Prob. 15PPSCh. 11.4 - Prob. 16PPSCh. 11.4 - Prob. 17PPSCh. 11.4 - Prob. 18PPSCh. 11.4 - Prob. 19PPSCh. 11.4 - Prob. 20PPSCh. 11.4 - Prob. 21PPSCh. 11.4 - Prob. 22PPSCh. 11.4 - Prob. 23PPSCh. 11.4 - Prob. 24PPSCh. 11.4 - Prob. 25PPSCh. 11.4 - Prob. 26PPSCh. 11.4 - Prob. 27PPSCh. 11.4 - Prob. 28PPSCh. 11.4 - Prob. 29PPSCh. 11.4 - Prob. 30PPSCh. 11.4 - Prob. 31PPSCh. 11.4 - Prob. 32PPSCh. 11.4 - Prob. 33PPSCh. 11.4 - Prob. 34PPSCh. 11.4 - Prob. 35HPCh. 11.4 - Prob. 36HPCh. 11.4 - Prob. 37HPCh. 11.4 - Prob. 38HPCh. 11.4 - Prob. 39HPCh. 11.4 - Prob. 40STPCh. 11.4 - Prob. 41STPCh. 11.4 - Prob. 42STPCh. 11.4 - Prob. 43STPCh. 11.4 - Prob. 44SPRCh. 11.4 - Prob. 45SPRCh. 11.4 - Prob. 46SPRCh. 11.4 - Prob. 47SPRCh. 11.4 - Prob. 48SPRCh. 11.4 - Prob. 49SPRCh. 11.4 - Prob. 50SPRCh. 11.4 - Prob. 51SPRCh. 11.4 - Prob. 52SPRCh. 11.4 - Prob. 53SPRCh. 11.4 - Prob. 54SRCh. 11.4 - Prob. 55SRCh. 11.5 - Prob. 1ACYPCh. 11.5 - Prob. 1BCYPCh. 11.5 - Prob. 2ACYPCh. 11.5 - Prob. 2BCYPCh. 11.5 - Prob. 3CYPCh. 11.5 - Prob. 1CYUCh. 11.5 - Prob. 2CYUCh. 11.5 - Prob. 3CYUCh. 11.5 - Prob. 4CYUCh. 11.5 - Prob. 5CYUCh. 11.5 - Prob. 6PPSCh. 11.5 - Prob. 7PPSCh. 11.5 - Prob. 8PPSCh. 11.5 - Prob. 9PPSCh. 11.5 - Prob. 10PPSCh. 11.5 - Prob. 11PPSCh. 11.5 - Prob. 12PPSCh. 11.5 - Prob. 13PPSCh. 11.5 - Prob. 14PPSCh. 11.5 - Prob. 15PPSCh. 11.5 - Prob. 16PPSCh. 11.5 - Prob. 17PPSCh. 11.5 - Prob. 18PPSCh. 11.5 - Prob. 19PPSCh. 11.5 - Prob. 20PPSCh. 11.5 - Prob. 21PPSCh. 11.5 - Prob. 22PPSCh. 11.5 - Prob. 23PPSCh. 11.5 - Prob. 24PPSCh. 11.5 - Prob. 25HPCh. 11.5 - Prob. 26HPCh. 11.5 - Prob. 27HPCh. 11.5 - Prob. 28HPCh. 11.5 - Prob. 29HPCh. 11.5 - Prob. 30STPCh. 11.5 - Prob. 31STPCh. 11.5 - Prob. 32STPCh. 11.5 - Prob. 33STPCh. 11.5 - Prob. 34SPRCh. 11.5 - Prob. 35SPRCh. 11.5 - Prob. 36SPRCh. 11.5 - Prob. 37SPRCh. 11.5 - Prob. 38SPRCh. 11.5 - Prob. 39SPRCh. 11.5 - Prob. 40SPRCh. 11.5 - Prob. 41SPRCh. 11.5 - Prob. 42SRCh. 11.5 - Prob. 43SRCh. 11.5 - Prob. 44SRCh. 11.5 - Prob. 45SRCh. 11 - Prob. 1GRFCCh. 11 - Prob. 2GRFCCh. 11 - Prob. 3GRFCCh. 11 - Prob. 4GRFCCh. 11 - Prob. 5GRFCCh. 11 - Prob. 6GRFCCh. 11 - Prob. 7GRFCCh. 11 - Prob. 8GRFCCh. 11 - Prob. 9GRFCCh. 11 - Prob. 10GRFCCh. 11 - Prob. 11GRFCCh. 11 - Prob. 12GRFCCh. 11 - Prob. 13GRFCCh. 11 - Prob. 14GRFCCh. 11 - Prob. 1MCQCh. 11 - Prob. 2MCQCh. 11 - Prob. 3MCQCh. 11 - Prob. 4MCQCh. 11 - Prob. 5MCQCh. 11 - Prob. 6MCQCh. 11 - Prob. 7MCQCh. 11 - Prob. 8MCQCh. 11 - Prob. 9MCQCh. 11 - Prob. 10MCQCh. 11 - Prob. 11MCQCh. 11 - Prob. 12MCQCh. 11 - Prob. 13MCQCh. 11 - Prob. 14MCQCh. 11 - Prob. 15MCQCh. 11 - Prob. 16MCQCh. 11 - Prob. 17MCQCh. 11 - Prob. 18MCQCh. 11 - Prob. 19MCQCh. 11 - Prob. 20MCQCh. 11 - Prob. 1SGRCh. 11 - Prob. 2SGRCh. 11 - Prob. 3SGRCh. 11 - Prob. 4SGRCh. 11 - Prob. 5SGRCh. 11 - Prob. 6SGRCh. 11 - Prob. 7SGRCh. 11 - Prob. 8SGRCh. 11 - Prob. 9SGRCh. 11 - Prob. 10SGRCh. 11 - Prob. 11SGRCh. 11 - Prob. 12SGRCh. 11 - Prob. 13SGRCh. 11 - Prob. 14SGRCh. 11 - Prob. 15SGRCh. 11 - Prob. 16SGRCh. 11 - Prob. 17SGRCh. 11 - Prob. 18SGRCh. 11 - Prob. 19SGRCh. 11 - Prob. 20SGRCh. 11 - Prob. 21SGRCh. 11 - Prob. 22SGRCh. 11 - Prob. 23SGRCh. 11 - Prob. 24SGRCh. 11 - Prob. 25SGRCh. 11 - Prob. 26SGRCh. 11 - Prob. 27SGRCh. 11 - Prob. 28SGRCh. 11 - Prob. 29SGRCh. 11 - Prob. 30SGRCh. 11 - Prob. 31SGRCh. 11 - Prob. 32SGRCh. 11 - Prob. 33SGRCh. 11 - Prob. 34SGRCh. 11 - Prob. 35SGRCh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PTCh. 11 - Prob. 17PTCh. 11 - Prob. 18PTCh. 11 - Prob. 19PTCh. 11 - Prob. 20PTCh. 11 - Prob. 1PSTCh. 11 - Prob. 2PSTCh. 11 - Prob. 1STPCh. 11 - Prob. 2STPCh. 11 - Prob. 3STPCh. 11 - Prob. 4STPCh. 11 - Prob. 5STPCh. 11 - Prob. 6STPCh. 11 - Prob. 7STPCh. 11 - Prob. 8STPCh. 11 - Prob. 9STPCh. 11 - Prob. 10STPCh. 11 - Prob. 11STPCh. 11 - Prob. 12STP

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