Chapter 11, Problem 11MCQ

To determine

To Find: Area of trapezium.

Answer to Problem 11MCQ

Area of trapezium ${\text{=180cm}}^{\text{2}}$ .

Explanation of Solution

Given information: Given a figure of trapezium.

Calculation:

Given parallel sides of trapezium are 10cm and 14cm and distance between parallel sides is 15cm.

Area of trapezium= $\frac{1}{2}\times$ (sum of parallel sides) $\times$ perpendicular distance between parallel sides.

  $\begin{array}{l}\text{=}\frac{\text{1}}{\text{2}}\left(\text{10+14}\right)\text{×15}\\ \text{=}\frac{\text{1}}{\text{2}}\left(\text{24}\right)\text{×15}\\ \text{=12×15}\\ {\text{=180cm}}^{\text{2}}\end{array}$

Therefore, area of trapezium ${\text{=180cm}}^{\text{2}}$