Question

Two similar rectangles have a corresponding sides in the ratio 10:3 find the ratio of their areas​

Answer 1

Ratio of the corresponding sides of rectangle

➾ 10 : 3

Areas will by in the ratio of 10² : 3²

➾ 100 : 9

Explanation :

let first rectangles sides be 10 l and 10 b ➾ The area will be 100 × l × b

So second rectangles sides be 3 l and 3b

➾ The area will be 9 × l × b

So the ratio of areas

➾100lb : 9lb

➾ 100 : 9

Answer 2

Hello!

Answer:

`\huge\boxed{100 : 9}`

If corresponding side lengths are in the ratio 10 : 3, the ratio of their areas will simply be the square (area is 2-dimensional).

Therefore:

10 : 3 ⇒ (10)² : (9)²

100 : 9 is the ratio of the areas.

I hope this helped you! :)