QUESTION IMAGE
Question
what is the area, in square meters, of the shaded part of the rectangle below? answer attempt 5 out of 100 a = □ m²
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.
$A=\frac{(6 + 11)\times20}{2}$
$=\frac{17\times20}{2}$
$=170$
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$170$