Question

8 11 cm 7 cm 6 cm area = copyright © 2024 by preferredstem | all rights reserved

Explanation:

Step1: Identify the shape as a trapezoid

The figure has one - pair of parallel sides, so it is a 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 between them.

Step2: Determine the values of $a$, $b$ and $h$

Here, $a = 7$ cm, $b = 11$ cm and $h=6$ cm.

Step3: Substitute values into the formula

$A=\frac{(7 + 11)\times6}{2}=\frac{18\times6}{2}$.

Step4: Calculate the area

First, $18\times6 = 108$, then $\frac{108}{2}=54$ $cm^{2}$.

Answer:

$54$ $cm^{2}$