Question

20. If the scale factor of 2 similar rectangles is 2:5, then the ratio of their areas is?

please show work please and thank you!

Answer 1

Below

Explanation:

the smaller rectangle ('2') has

say L x W = area

the larger rectangle has sides that are 5/2 =2.5 times bigger ( ratio 2:5)

that would be area

2.5 L X 2.5 W = 6.25 L X W <=====note this is 6.25 times bigger area

so the ratio of areas would be 1 : 6.25

or 4 : 25 if you want whole numbers