Question

The area of a square park is same as the area of a rectangular park. lf the side of a squares 40 m and the length of the rectangular park is 64 m,find the breadth of the rectangular park. Also, find the perimeter of the rectangular park.​

Answer 1

Answer:

BREADTH = 25 M AND PERIETER = 178 M

Step-by-step explanation:

Answer 2

Breadth = 25m

Perimeter = 178m

Explanation -:

Given :

• The area of a square park is same as the area of a rectangular park
• Side of the square park = 40m
• Length of the rectangular park = 64m

To Find :

• Breadth and perimeter of the rectangular park

Solution :

Area of a square park = Area of a rectangular park

$\large\rm \purple{Area \: of \: a \: square = side \times side}$

$\small\rm\bf{Area \: of \: a \: square = 40 \times 40}$

$\small\rm{ = 1600 {m}^{2} }$

Area of the square = 1600m²

Breadth of the rectangular park

Given

Area of the rectangular park = 1600m²

Length of the rectangular park = 64m

Let us assume breadth as 'x'

$\large\rm\orange{Area \: of \: a \: rectangle =l \times b }$

where,

l = length

b = breadth

$\small\bf{1600 = 64 \times x}$

$⥟ \small\rm{ \frac{1600}{64} = x }$

$⥟ \small\pmb{x = 25}$

Breadth = 25m

Perimeter of the rectangular park

$\large\rm\pink{Perimeter \: of \: a \: rectangle = 2(length + breadth)}$

$\small\bf{perimeter = 2(64 + 25)}$

$⥟ \small\rm{2(89)}$

$⥟ \small\rm{178m}$

Perimeter = 178m