Question

Quadrilateral JPRAQuadrilateral JPRA is similar to quadrilateral KDEWquadrilateral KDEW . PR=27 mmPR=27 mm , DE=15 mmDE=15 mm , and WE=25 mmWE=25 mm .

What is AR?

Answer 1

the sides that correspond that are listed are PR & DE and WE & AR. Corresponding sides of similar plolygons are proportional so we can set up a proportion to find the missing side length AR.


`(PR)/(DE) = (AR)/(WE)`

substitute


`(27)/(15) = (AR)/(25)`

Cross multiply

27*25 = AR*15
Simplify
675 = 15*AR
Divide both sides by 15

45=AR