Question

The pentagons ABCDE and PQRST are similar. Find the length x of ST. A 3 ​

Answer 1

ST = x = 9

Explanation:

since the pentagons are similar then the ratios of corresponding sides are in proportion , that is

`(ST)/(DE)` =
`(RS)/(CD)` ( substitute values )

`(x)/(5)` =
`(5.4)/(3)` ( cross- multiply )

3x = 5 × 5.4 = 27 ( divide both sides by 3 )

x = 9