Question

Abcd is a trapezium with ab parallel to dc and angle bcd = 30 degree east is a sector of a circle with centre c and a b equal to bc equal to 7 cm

Answer 1

Answer:

Given,

AB=7cm, DE=4cm, and BF=3.5cm

To find,

BC=DE+EC=4+7=11cm

Area of trapezium ABCD

$\frac{1}{2} (sum \: of \: ||side) \times h$

$\frac{1}{2} (11 + 7) \times 3.5$

$\frac{1}{2} (18) \times 3.5$

$ans = 31.5$

Area of sector BGEF

$\frac{ \gamma }{360} \times \pi {r}^{2}$

$\frac{30}{360} \times \frac{22}{7} \times 7 \times 7$

$ans = 12.833$

Area of shaded region

area of trapezium - area of sector

31.5 -12.833

$ans = 18.67 {cm}^{2}$

Therefore area of shaded region,

18.67cm2

Hope this will help you!!

Thanks!!