Question

A garden is in the form of a trapezium as shown below. Which of the following gives the area of the garden?

• A. 48 sq m
• B. 160 sq m
• C. 84 sq m
• D. 120 sq m

Answer 1

The correct option is C 84 sq m

The given trapezium is


The length of the base = 20m

Area of the trapezium = Area of rectangle + Area of triangle

The length of the rectangle = 8m

Breadth of the rectangle = 6m

Area of rectangle = length $\times$ breadth

= 8 $\times$ 6 = 48 sq m

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

= $\frac{1}{2}$ $\times$ 12 $\times$ 6 = 36 sq m

Hence area of trapezium = 48 + 36 = 84 sq m