Question

area of composite shapes (trapezoids and
this is the only question in this section.
question
what is the area, in square meters, of
the shaded part of the rectangle below?
answer
attempt 1 out of 100
$a=square m^{2}$

Explanation:

Step1: Find height of shaded trapezoid

The height of the shaded trapezoid is $11 - 6=5$ m, and the lengths of the parallel - sides are 20 m and 0 m (the non - parallel side meets the rectangle's side), and the other parallel side is along the length of the rectangle which is 20 m.

Step2: Apply trapezoid area formula

The area formula 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, $a = 20$ m, $b = 0$ m, $h = 5$ m. So $A=\frac{(20+0)\times5}{2}$.

Step3: Calculate the area

$A=\frac{20\times5}{2}=50$ $m^{2}$

Answer:

$50$