The area of a rectangle is equal to the area of a circle with circumference equal to 39.6 m. What is the length of the rectangle if its breadth is 4.5 metres?

Options

A. 33.52 m
B. 21.63 m
C. 31.77 m
D. 27.72 m

Answer

D

Explanation

Circumference of the circle = 39.6 m
`or, 2pir=39.6 m`
or, `r=(39.6xx7)/(22xx2)=6.3 m`
`:. " Area of circle "=pir^2=22/7xx6.3xx6.3=124.74 m^2`
`:." Area of the rectangle " 124.74`
`:." Length of the rectangle "=(124.74)/94.50=27.72m`