Question

the sides fo two square are in the ratio 2:3 find the ratio of their perimeter and area​

Answer 1

Answer:

The sides of two similar triangles are in the ratio 2:3, then the

areas of these triangles are in the ratio

Given that

Ratio of sides of similar triangles

3

We know that

If two triangle are similar, ratio of areas is equal to the ratio of

squares of corresponding sides.

Therefore,

(Side of triangle 1)

Area of triangle1

Area of triangle 2 (Side of triangle 2)

(2/3)2

=4:9

Answer 2

Case 1 Case 2

side of 1st square=2x. side=3x

Perimeter=4×side perimeter=4×3x=12x

=4×2x=8x

Area=Side×Side. Area= side×side

2x×2x=4x². 3x×3x=9x²

Therefore; ratio of there perimeter

8x/12x=2/3

2:3

Ratio of there area

4x²/9x²

4:9

If in the question it is asked to find ratio of perimeter and area differently then this should be the answer

Please comment if it helps