Question

This trapezoid is composed of a rectangle and two triangles. What is the area of the trapezoid? A) 44cm2 B)40cm2 C)36cm2

Answer 1

A)
`44\ cm^2`

Explanation:

Given:

Trapezoid is composed of 2 triangles and 1 rectangle.

In order to find area of trapezoid, we will find area of each shape contained in the trapezoid and add them together

Area of triangles:

Base = 2 cm

Height = 4 cm

Area of a triangle =
`(1)/(2)* base* height`

Plugging in given values.

Area of a triangle =
`(1)/(2)* 2* 4=4\ cm^2`

Ares of other triangle would be same as they have same height and base.

So, Area of two triangles =
`2* 4 =8\ cm^2`

Area of rectangle:

Length = 9 cm

Width = 4 cm

Area of rectangle =
`length * width`

Area of rectangle =
`9 * 4=36\ cm^2`

So, area of trapezoid =
`\textrm{Area of triangles + Area of rectangle}`

∴ Area of trapezoid =
`8\ cm^2+36\ cm^2=44\ cm^2`