Using the given information, the area of figure B is 315 ft²
From the question, we are to calculate the area of figure B
In the given diagram, figure B is made up of a triangle and a square
∴ Area of figure B = Area of triangle + Area of square
Area of triangle = [tex]\frac{1}{2} bh[/tex]
Where b is the base
and h is the height
Area of square = [tex]l^{2}[/tex]
Where [tex]l[/tex] is the length of a side
In the diagram,
[tex]l = b = 15 \ ft[/tex]
[tex]h =12 \ ft[/tex]
∴ Area of figure B = [tex](\frac{1}{2}\times 15 \times 12) + 15^{2}[/tex]
∴ Area of figure B = (15×6) + 225
∴ Area of figure B = 90 + 225
∴ Area of figure B = 315 ft²
Hence, the area of figure B is 315 ft²
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