Question

Find the area of the trapezoid. A drawing of a trapezoid with length of two parallel sides equal to a mixed fraction of one and a half centimeters and three and a half centimeters. The altitude of the trapezoid is 4 centimeters.

Answer 1

`10cm^2`

Explanation:

We are given that

Two parallel sides of trapezoid are

`a=1(1)/(2)cm=(3)/(2)=1.5cm`

`b=3(1)/(2)=3+0.5=3.5 cm`

Height of trapezoid, h=4 cm

We have to find the area of the trapezoid.

We know that

Area of trapezoid=
`(1)/(2)(a+b)h`

Where a and b are two parallel sides

h=Height of trapezoid

Using the formula

Area of trapezoid=
`(1)/(2)(1.5+3.5)* 2`

Area of trapezoid=
`10cm^2`