1 Answer

Caspian Canuck · Answer 1 · 2023-12-04T16:59:10+0000

The area of a triangle is computed as follows:

$A=\text{base}\cdot\text{height}\cdot(1)/(2)$

Substituting with base = 28 ft, height = 10.2 ft, we get:

$A=28\cdot10.2\cdot(1)/(2)=142.8ft^2$

The area of a rectangle is computed as follows:

$A=\text{base}\cdot\text{height}$

The rectangle of the graph has a base of 29.8 ft and a height of 23 ft. Its area is:

$A=29.8\cdot23=685.4ft^2$

Therefore, the area of the shaded region is:

$\text{area of the rectangle - area of the triangle = 685.4-142.8 = }542.6\text{ sq. ft}$

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