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what is the area, in square meters, of the shaded part of the rectangle…

Question

what is the area, in square meters, of the shaded part of the rectangle below? answer attempt 5 out of 100 a = □ m²

Explanation:

Step1: Find the height of the shaded trapezoid

The height of the shaded trapezoid is the length of the rectangle, which is $20$ m. The lengths of the parallel - sides of the trapezoid are $6$ m and $11$ m.

Step2: Use the trapezoid area formula

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, $a = 6$ m, $b = 11$ m, and $h=20$ m.
$A=\frac{(6 + 11)\times20}{2}$
$=\frac{17\times20}{2}$
$=170$

Answer:

$170$