Question

The length of a rectangle is 3/5th of the side of a square. The radius of a circle is equal to side of the square. The circumference of the circle is 132 cm. What is the area of the rectangle, if the breadth of the rectangle is 15 cm?

Answer 1

Answer:

2πr=132=2×22%7×r=132

r=132×7%2×22=21cm side of square=21cm length of the rectangle=3×21%5cm area of the rectangle=3×21%5=100.8sq.cm.

Answer 2

Answer:

The length of a rectangle is 3/5th of the side of a square. The radius of a circle is equal to the side of the square. The circumference of the circle is 132 cm. If the breadth of the rectangle is 15 cm the area of the rectangle is $189.09cm^{2}$

Step-by-step explanation:

A rectangle is a polygon with four sides, when all the four sides are in equal length then it is called a square.

The area of a rectangle with the length $l$ and breadth $b$ is given by the formula $A=l*b$

From the question, we have

the length of the rectangle is $3/5th$ of the side of a square

let side of the square be $'a'$

⇒$l=3a/5$

the radius $r$ of a circle is equal to the side of the square

⇒$r=a$

The circumference of the circle is $=2\pi r$

$2\pi r=132cm$

$r=132/2\pi =21.01cm$

so the side of the square $a=21.01cm$

the breadth of the rectangle is $b=15cm$

the length of the rectangle is $l=3*21.01/5=12.6cm$

now the area of the rectangle $A=12.6*15=189.09cm^{2}$