The perimeter of a square is 12 cm than the perimeter of the rectangle . Each side of the square is of length 16 cm. while the length of the rectangle is 20 cm ,find its breadth?
Answers
Answer:
breath=6cm
Explanation:
perimeter of rectangle+12=perimeter of square
perimeter of square=64cm
so
2(20+X)+12=64
40+2x=52
2x=12
X=6cm
breath=6cm
Given :
Each side of square = 16 cm
Perimeter of the square is 12 cm more than the perimeter of the rectangle.
Length of the rectangle = 20 cm
To Find :
Breadth of the rectangle
Solution :
Length of each side of square = 16 cm
Perimeter of square = 4×16 = 64 cm
It is given that the perimeter of the square is 12 cm more than the rectangle.
So, the perimeter of rectangle = (64-12) = 52 cm
We know, Perimeter of the rectangle = 2(Length + Breadth)
or, 52 = 2(20 + Breadth)
or, 26 = 20 + Breadth
or, Breadth = 26 - 20
∴ Breadth = 6 cm.
∴ The Breadth of the rectangle is 6 cm.