Question

please anyone answer this question

Answer 1

Hey mate !!

Here's your answer !!

Given :

Two squares with perimeter ratio = 5 : 12

Area of first square = 100 m²

To find :

Area of the second square.

Proof :

Let the ratio of perimeter be 5x : 12x

Now area of square = Side ²

So area of first square = Side ²

=> Side ² = 100 m ²

Taking square root on both sides we get,

= Side = √ 100 = 10 m

Hence side of first square is 10 m.

Perimeter of a square = 4 * Side

=> 4 * 10 = Perimeter of first square

=> 40 m =  Perimeter of first square.

=> 5x = 40 m

=> x = 40 / 5 = 8 m

Therefore perimeter of second square is 12x = 12 * 8 = 96 m²

4 * Side = 96 m

=> Side = 96 / 4 = 24 m

Hence area of square = Side ² = 24 ² = 576 m²

Hence area of second square is 576 m².

Hope my answer helped !!

Cheers !!