Question

use the appropriate formula to determine the a) area of the figure and b) perimeter of the figure. a) the area of the figure is 44 cm². (simplify your answer. type an integer or a decimal.) b) the perimeter of the figure is . (simplify your answer. type an integer cm³ cm cm²

Explanation:

Step1: Calculate the area of the trapezoid

The formula for the area of a trapezoid is $A=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the parallel - sides and $h$ is the height. Here, $a = 8$ cm, $b = 14$ cm, and $h = 4$ cm. So $A=\frac{(8 + 14)\times4}{2}=\frac{22\times4}{2}=44$ $cm^{2}$.

Step2: Calculate the perimeter of the trapezoid

The perimeter $P$ of a trapezoid is the sum of the lengths of its four sides. The four - side lengths are 5 cm, 8 cm, 5 cm, and 14 cm. So $P=5 + 8+5 + 14=32$ cm.

Answer:

a) 44 $cm^{2}$
b) 32 cm