Question

The length of a rectangle is two�thirds 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 234 cm. What is the area of the rectangle if the breadth of the rectangle is 16 cm?

a) 442 cm^2 b) 436 cm^2 c) 448 cm^2 d) 440 cm^2 e) 450 cm^2

Answer 1

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Answer 2

Answer:

The length of a rectangle is two-thirds 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 234 cm. If the breadth of the rectangle is 16 cm the area of the rectangle is $397.4cm^{2}$

Step-by-step explanation:

A rectangle is a polygon with four sides when all the 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

$A=l*b$

Let the side of a square be $a$

From the question, it is given that

the length of the rectangle is two-third of the side of a square

⇒$l=2a/3$

we have a circle with a radius $a$(side of the square)

the circumference of the circle is $2\pi a$$=234cm$

⇒$a=234/2\pi =37.2cm$

now the length of the rectangle $l=2*37.2/3=24.84cm$

the breadth of the rectangle is $b=16cm$

therefore the area of the rectangle is $A=16*24.8=397.4cm^{2}$