Question

Find the area of a square, whose perimeter and area are in the ratio 1:2.

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Answer 1

Answer:

4a/a^2=1/2

4/a=1/2

a=8

area= 64

Answer 2

Answer:

Let side of the square be x

Then as given

Ratio of its perimeter and area = 1:2

Clearly

4x / x × x= 1/2

4 / x = 1/2

x = 8

Then

The area of square = 8 × 8 = 64 sq cm