Question

What is the area

this trapezoid?
6 m
1 m
3 m
5 m
o
A. 14 m2
O
B. 18 m2
O
C. 21 m2
O
D. 35 m2

Answer 1

Area of the trapezoid = 18 m²

Explanation:

Formula to calculate the area of a trapezoid is,

Area of a trapezoid =
`(1)/(2)(b_1+b_2)h`

Where
`b_1` and
`b_2` are the parallel sides of the trapezoid

And h = distance between the parallel sides

From the figure attached,

`b_1` = 5 m

`b_2` = (6 + 1) = 7 m

h = 3 m

By substituting these values in the formula,

Area of a trapezoid =
`(1)/(2)(5+7)3`

= 6 × 3

= 18 m²

Therefore, area of the given trapezoid is 18 m².