Question

Which of the following gives the area of the given trapezoid?

• A. 140 sq m
• B. 80 sq m
• C. 200 sq m
• D. 80 sq m

Answer 1

The correct option is A 140 sq m

The given trapezoid is,


Area of the trapezoid = Area of parallelogram + Area of triangle

The base of the parallelogram = 8 m

Height of the parallelogram = 10 m

Area of parallelogram = base $\times$ height

= 8$\times$ 10 = 80 sq m

Area of triangle = $\frac{1}{2}$ $\times$ base $\times$ height

Base of triangle = 12m

Height of triangle = 10m

= $\frac{1}{2}$ $\times$ 12 $\times$ 10 = 60 sq m

Hence, area of the trapezoid = 80 + 60 = 140 sq m.