Question

The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth
e ctangle is 25 cm. find the length of the rectangle. Also, find the perimeter of the rectangle

Answer 1

Answer:

Length = 64 cm; Perimeter=178 cm

Step-by-step explanation:

Area of square = side * side = 40 cm * 40 cm = 1600 cm^2

Area of rectangle = Area of square = 1600 cm^2

Area of rectangle  =  length * breadth

1600 cm^2 = length * 25 cm

Length = (1600/25) cm = 64 cm

Perimeter of rectangle = 2(length + breadth) = 2(64 cm + 25 cm) = 178 cm

Answer 2

Solution:

Given:

The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth

rectangle is 25 cm.

Find:

Find the length of the rectangle.

Find the perimeter of the rectangle.

Calculations:

Area of the square = (side)²

40 cm × 40 cm = 1600 cm²

The area of the rectangle = The area of the square.

1600 cm² = Area of the rectangle.

25 cm = Breadth of rectangle.

Formula:

→ L × B (Length × Breadth)

or → 1600 = l × 25

or → 1600/25 = l

or → l = 64 cm

Hence, 64 cm is the length of the rectangle.

Perimeter of the rectangle

→ 2(l + b) = 2 (64 + 25) cm

→ 2 × 89 cm = 178 cm

Therefore, 178 cm is the perimeter of the rectangle and also but area is same as the square.