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.
Answers
Answer:
Length of the rectangle is equal to 64cm.
&
perimeter of the rectangle = 178cm
Step-by-step explanation:
Given that,
length of square(a) = 40cm
Breadth of rectangle (b)=25cm
A.T.Q,
a² = l×b
=) 40² = l×25
=) l = 1600/25
=) l = 64cm
So ,Length of the rectangle is equal to 64cm.
so, Perimeter of the Rectangle
= 2(l+b)
= 2(64+25)
= 2×89
= 178cm
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