Verified answer

The side of a square is 6m. If the perimeter of a rectangle is the same as that of this square.

Perimeter of the square = side × 4

= 6 × 4

= 24 m

Area of the square = side²

= 6²

= 36 m²

i) Find the ratio of area of the square to its perimeter

Ratio = 24/36 = 4/6 = 2/3 = 2 : 3 ans

ii) Find the ratio of length of the rectangle to its breadth, if its breadth is 3m.

Breadth = 3 m

Length = ?

Perimeter = Perimeter of square = 24 m

Perimeter = 2(length + breadth)

24 = 2(length + 3)

12 = length + 3

Length = 12 - 3 = 9 cm

Ratio = 12/3 = 4/1 = 4 : 1 ans