Question

A building is in the shape of quadrilateral ABCD. Find its area if its parallel sides are 10 m and 8 m respectively, and its base is of length 5 m.

• A. 40 $m^2$
• B. 45 $m^2$
• C. 50 $m^2$
• D. 60 $m^2$

Answer 1

The correct option is B 45 $m^2$

Given Quadrilateral is in the shape of a trapezium.
The parallel sides are AB and CD
AB = 10 m, CD = 8 m,
BC = height of trapezium = 5 m

Area of trapezium ABCD =
= $\frac{1}{2}$$\times$(Sum of parallel sides)$\times$height
= $\frac{1}{2}$$\times$(AB+CD)$\times$BC
= $\frac{1}{2}$$\times$(10+8)$\times$5
= $\frac{1}{2}$$\times$18$\times$5
= 9$\times$5 = 45 $m^2$