Question

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

Answer 1

Area of square = s²

= 40²

= 1600cm²

As given in the question,

Area of Square= Area of Rectangle

1600= Area of Rectangle

Area of Rectangle= l×b

1600= l×25

1600÷25 = l

64= l

Length is 64cm.

Perimeter=2(l+b)

= 2(64+25)

= 2× 89

= 178 cm

Answer 2

hay!!

given

⟼The area of a square and a rectangle are equal. If the side of the square is40 cm and the breadth of the rectangle is 25 cm, find the length of therectangle. Also, find the perimeter of the rectangle.

to find

• find the length of the

rectangle.

• Also, find the perimeter of the rectangle.

formula used

⟼area of square=(side) ^2.

⟼the area of rectangle = the area of a square.

.answer.

⟼perimeter of rectangle is 178cm.

⟼L=64cm.

⟼solusion

⟼Area of square = (side) ^2

⟼=40cm*40cm

⟼=1600cm^2.

⟼It is given that ,

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

⟼Area of the rectangle = 1600cm^2,

⟼Breath of the rectangle = 25cm.

⟼Area of rectangle = l*b .

⟼Or,

⟼1600 = l * 25 .

⟼Or,

⟼1600/25= l.

⟼Or,

⟼L = 64 CM.

⟼So, the lenth of rectangle is 64cm.

⟼Perimeter of the rectangle = 2(l+b)

⟼= 2(64+25)cm.

⟼= 2*89cm.

⟼= 178 CM.

⟼So, the perimeter of the rectangle is 178 CM even though it area is the same as that of the square.

hope it's helps you