Question

16. The side of a square is 6 cm. A rectangle of side 8 cm has the same perimeter as that of the square. Then,
a find the perimeter of the square.
b. calculate area of rectangle and area of square.
c. which has the greater area, the square or the rectangle?
The ball is 25 m,​

Answer 1

Given,
Side of square (s) =6cm
One side of rectangle (l) =8cm
Perimeter of rectangle 2(l+b) = Perimeter of square (4*s)

Let the another side of rectangle be b

Solution,
A) Perimeter of square = 4*s
= 4*6
= 24 cm

Perimeter of rectangle = Perimeter of square

2*(l+b) = 24
2*(8+b) = 24
16+ 2b = 24
2b = 24-16
2b = 8
b = 8/2
b = 4 cm

B) Area of rectangle = l*b
= 8 * 4
= 32 cm^2
Area of square = s*s
= 6*6
= 36 cm^2

C) Square has greater area than rectangle.
36 cm^2 > 32 cm^2