Question

From a piece of cardboard, in the shape of a trapezium ABCD, and AB$||$CD and $\angle$BCD$={90}^o$, quarter circle is removed. Given AB$=$BC$=3.5$cm and DE$=2$cm. Calculate the area of the remaining piece of the cardboard.(Take $\pi$ to be $\frac{22}{7}$)

• A. $9.625c{m}^2$
• B. $6.125c{m}^2$
• C. $2.625c{m}^2$
• D. None of these

Answer 1

The correct option is B $6.125c{m}^2$

REF.Image

EC=BC=3.5 cm

DC = DE + EC

= 5.5 cm

Area of rem. piece = Area of trapezoid - Area of quarter circle

EC=BC=3.5cm
Area of rem. piece = Area of trapezoid - Area of quarter circle