Given: Quadrilateral LIKE is a kite with LI = IK and LE = KE. a. LE is twice LI. If its perimeter is 21 cm, how long is LE? b. What is its area if one of the diagonals is 4 more than the other and TR + LK = 16 in?
Given: Quadrilateral LIKE is a kite with LI = IK and LE = KE. a. LE is twice LI. If its perimeter is 21 cm, how long is LE? b. What is its area if one of the diagonals is 4 more than the other and TR + LK = 16 in?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![Given: Quadrilateral LIKE is a kite with LI = IK and LE KE.
a. LE is twice LI. If its perimeter is 21 cm, how long is LE?
b. What is its area if one of the diagonals is 4 more than the other and IK + LK =
16 in?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29f022a9-40a0-4c2d-9ecd-149c3c8a051a%2F7344b6ee-0834-4048-8e52-091606c6b6dd%2Fkex2cqn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given: Quadrilateral LIKE is a kite with LI = IK and LE KE.
a. LE is twice LI. If its perimeter is 21 cm, how long is LE?
b. What is its area if one of the diagonals is 4 more than the other and IK + LK =
16 in?
![Given: Quadrilateral POST is an isosceles trapezoid with OS II PT. ER is its median.
a. If OS = 3x – 2, PT = 2x + 10 and ER = 14, how long is each base?
b. One base is twice the other and ER is 6 cm long. If its perimeter is 27 cm, how long
is each leg?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29f022a9-40a0-4c2d-9ecd-149c3c8a051a%2F7344b6ee-0834-4048-8e52-091606c6b6dd%2F8366tri_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given: Quadrilateral POST is an isosceles trapezoid with OS II PT. ER is its median.
a. If OS = 3x – 2, PT = 2x + 10 and ER = 14, how long is each base?
b. One base is twice the other and ER is 6 cm long. If its perimeter is 27 cm, how long
is each leg?
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