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find the area. area of □ = ? in² area of △ = □ in² remember: a□ = s² ar…

Question

find the area.
area of □ = ? in²
area of △ = □ in²
remember:
a□ = s²
area of figure = □ in²

Explanation:

Step1: Calculate the area of the square

The formula for the area of a square is $A = s^{2}$, where $s = 6$ in.
$A_{\square}=6\times6 = 36$ in$^{2}$

Step2: Calculate the area of the triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$, where $b = 12$ in and $h = 8$ in.
$A_{\triangle}=\frac{1}{2}\times12\times8=6\times8 = 48$ in$^{2}$

Step3: Calculate the area of the figure

The area of the figure is the sum of the area of the square and the area of the triangle.
$A = A_{\square}+A_{\triangle}=36 + 48=84$ in$^{2}$

Answer:

Area of $\square = 36$ in$^{2}$
Area of $\triangle = 48$ in$^{2}$
Area of Figure $= 84$ in$^{2}$