Question

3. (a) The area and the perimeter of a square are A and P respectively. If the sides are doubled, the
area becomes A' and the perimeter, P'. Find (i) A': A, and (ii) P':P.​

Answer 1

Step-by-step explanation:

Area of a square = side×side

Let the sides be x

x×x

x²

Perimeter of a square = 4×side

Let the side be y

4×y

4y

When the sides are doubled

Area of square 1 side×side

The side is 2x

2x×2x

4x²

Perimeter of square = 4×side

The side is 2y

4×2y

8y

Ratio

(I) 4x²:x²

(II) 8y:4y