Question

Area of the given trapezoid is sq ft.

• A. 20
• B. 15
• C. 10

Answer 1

The correct option is B 15

Divide the trapezoid into known shapes such as triangles and rectangles whose dimensions can be determined by looking at the given shape.

Area of a rectangle = length × width
$\text{Area of a triangle}=\frac{1}{2}\times \text{base}\times \text{height}$


So, the figure ABCD is divided into triangle ADE and rectangle ABCD.

In △ADE:
Base = 2 ft
Height = 3 ft.

$\text{Area of triangle ADE}=\frac{1}{2}\times 2\times 3$
$\text{= 3 sq ft}$

In rectangle ABCE:
Length = 3 ft
Width = 4 ft

∴ Area of rectangle ABCE = 4 ft × 3 ft
= 12 sq ft

So, area of trapezoid will be:
= Area of rectangle ABCE + Area of △ADE
= (3 + 12) sq ft
= 15 sq ft