Question

HELP Trigonometry: Find the area of each shape using the given information

Answer 1

Given:

The vertical height of the trapezoid = 2.9 m

The bases of the trapezoid are 2.3 m and 9.3 m.

To find:

The area of the given trapezoid.

Solution:

The area of a trapezoid is:

$A=\dfrac{1}{2}(a+b)h$

Where, a, b are bases or length of parallel sides and h is the vertical height of the trapezoid.

Putting $a=2.3,\ b=9.3,\ h=2.9$ in the above formula, we get

$A=\dfrac{1}{2}(2.3+9.3)(2.9)$

$A=\dfrac{1}{2}(11.6)(2.9)$

$A=16.82$

Therefore, the area of the given trapezoid is 16.82 square m.