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find the area of the figure pictured. * 17.6 mm a = 70.4mm find the are…

Question

find the area of the figure pictured. *
17.6 mm
a = 70.4mm
find the area of the figured pictured. *
35 m
38 m
32.7 m
13 m
35 m
your answer

Explanation:

Step1: Identify the first shape

The first shape is a square with side length $a = 17.6$ mm. The area formula for a square is $A=a^{2}$.
$A_1=(17.6)^2=309.76$ $mm^{2}$

Step2: Identify the second shape

The second shape is a trapezoid. The area formula for a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1 = 38$ m, $b_2=13$ m and $h = 32.7$ m.
$A_2=\frac{(38 + 13)\times32.7}{2}=\frac{51\times32.7}{2}=\frac{1667.7}{2}=833.85$ $m^{2}$

Answer:

The area of the square is $309.76$ $mm^{2}$ and the area of the trapezoid is $833.85$ $m^{2}$