Question

The two parallelograms in the figure are similar. What is the value of x?

A. 26
B. 24
C. 28
D. 30.4

Answer 1

The answer is D, 30.4

Explanation:

Because the two parallelograms are similar, the relationship between the sides of them are directly proportional.

So:

`(9)/(8) =(x)/(27)`

Cross multiply

8x = 243

÷8 both sides

x = 30.375 ≈ 30.4

The answer is D, 30.4

Answer 2

D. 30.4

EXPLANATION

The two parallelograms are similar, therefore the corresponding sides must be in the same proportion:

`(x)/(9) = (27)/(8)`

Multiply both sides of the equation by 8. This implies that,

`x = (27)/(8) * 9`

`x = 30.375`

Rounding to the nearest tenth gives us:

`x = 30.4 \: units`