The area of a rectangle is equal to the area of a circle with circumference equal to 220 metres. What is the length of the rectangle if its breadth is 50 metres?

Options

A. 56 metres
B. 83 metres
C. 77 metres
D. 69 metres

Answer

C

Explanation

Radius of circle (r ) `=("circumference")/(2pi)=(220xx7)/(2xx22)=35 m`
are of circle `=pir^2=22/7xx(35)^2=22/7xx35xx35`
`3850 m^2`= area of rectangle
`:. " Langth of rectangle"=("area of rectangle")/("width")`
`=3850/50=77m`.