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find the area. area of □ = ? in² area of △ = □ in² remember: a□ = bh ar…

Question

find the area.
area of □ = ? in²
area of △ = □ in²
remember:
a□ = bh
area of figure = □ in²

Explanation:

Step1: Calculate the area of the parallelogram

The formula for the area of a parallelogram is $A = bh$. Here, $b = 15$ in and $h=9$ in.
$A_{\square}=15\times9 = 135$ in$^{2}$

Step2: Calculate the area of the triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$. Here, $b = 16$ in and $h = 15$ in.
$A_{\triangle}=\frac{1}{2}\times16\times15=8\times15 = 120$ in$^{2}$

Step3: Calculate the area of the figure

The area of the figure is the sum of the area of the parallelogram and the area of the triangle.
$A = A_{\square}+A_{\triangle}=135 + 120=255$ in$^{2}$

Answer:

Area of $\square = 135$ in$^{2}$
Area of $\triangle = 120$ in$^{2}$
Area of Figure $= 255$ in$^{2}$