1. Two consecutive sides of a parallelogram measure 3 m and 8 m, respectively. What is the perimeter of the parallelogram?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. Two consecutive sides of a parallelogram measure 3 m and 8 m, respectively. What is the perimeter of the
parallelogram?
2. Quadrilateral MECQ is a trapezoid. ME || QC and AB as the median. If ME-12 and QC=24,
what is AB?
3. Quadrilateral LOVE is a kite in which LV=8 in and OE=20 in. What is the area of the kite?
3.
Given: Quadrilateral LIKE is a kite with LI z IK and LE = KE.
a. LE is twice LI. If its perimeter is 21 cm, how long is LE?
Perimeter of Kite 2S: + 2S2
Formula of Perimeter of Kite
21 2L1 + 2(2L7)
21 2S, + 4CI
21 = 6LI
Substitution
Multiplication Property
Combining like terms
Dividing both sides by 6
LE is twice LI
LI = 3.5 cm
LE = 7 cm
What is the area if one of the diagonals is 4 more than the other
and TE + ZK = 16 inches?
TE + LK
x+ (x+4) 16
2x + 4
16
Given
Substitution
16
Combining like terms
Addition Property of Equality
Subtraction Property
Dividing both sides by 2
Formula of Area of Kite
2x + 4-4 =16-4
12
2x
x = 6
Area of Kite=DID2
Area of Kite =(TE)(CK)
Substitution
Area of Kite = (6)(10)
Area of Kite 30 inches?
Substitution
Multiplication Property
b.
Transcribed Image Text:1. Two consecutive sides of a parallelogram measure 3 m and 8 m, respectively. What is the perimeter of the parallelogram? 2. Quadrilateral MECQ is a trapezoid. ME || QC and AB as the median. If ME-12 and QC=24, what is AB? 3. Quadrilateral LOVE is a kite in which LV=8 in and OE=20 in. What is the area of the kite? 3. Given: Quadrilateral LIKE is a kite with LI z IK and LE = KE. a. LE is twice LI. If its perimeter is 21 cm, how long is LE? Perimeter of Kite 2S: + 2S2 Formula of Perimeter of Kite 21 2L1 + 2(2L7) 21 2S, + 4CI 21 = 6LI Substitution Multiplication Property Combining like terms Dividing both sides by 6 LE is twice LI LI = 3.5 cm LE = 7 cm What is the area if one of the diagonals is 4 more than the other and TE + ZK = 16 inches? TE + LK x+ (x+4) 16 2x + 4 16 Given Substitution 16 Combining like terms Addition Property of Equality Subtraction Property Dividing both sides by 2 Formula of Area of Kite 2x + 4-4 =16-4 12 2x x = 6 Area of Kite=DID2 Area of Kite =(TE)(CK) Substitution Area of Kite = (6)(10) Area of Kite 30 inches? Substitution Multiplication Property b.
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