Question

Rectangle H and J are similar. If the area of rectangle H is 176, What is the area of rectangle J?

Answer 1

ratio will be same

$\\ \rm\Rrightarrow \dfrac{22}{176}=\dfrac{8.8}{J}$

$\\ \rm\Rrightarrow \dfrac{1}{7}=\dfrac{8.8}{J}$

$\\ \rm\Rrightarrow J=8.8(7)$

$\\ \rm\Rrightarrow J=61.6$

Answer 2

Find the scale of the smaller rectangle:

8.8/22 = 0.4

Area is squared so square the scale: 0.4^2 = 0.16

Multiply the area of the larger rectangle by that:

176 x 0.16 = 28.16 square units

Answer: 28.16 square units