Solution:
Given:
The breadth of a rectangle is 4/5 of the radius of a circle
The radius of the circle is 1/5 of the side of a square, whose area is 625 cm2
The length of the rectangle is 20 cm
Formula Used:
The area of the square = a2
The area of the rectangle =l×b
Calculations:
According to the question,
The breadth of a rectangle (b) is 4/5 of the radius of a circle (r)
=>b=\frac{4}{5}\times{r}
The radius of the circle (r) is 1/5 of the side of a square (a)
=>r=\frac{1}{5}\times{a}
⇒ The area of square = a2
⇒ 625=a2
⇒ a=25 cm
⇒ The radius of the circle will be =51×a=51×25=5cm
The breadth of the rectangle will be
=>b=\frac{4}{5}\times{r}
=>b=\frac{4}{5}\times{5}=4cm
=>The area of rectangle will be =l×b=20×4=80cm2
Hence, The area of the rectangle will be 80 cm2