This model of the backboard of a basketball goal is composed of a rectangle and a semicircle. Use a ruler to measure the dimensions of the model to the nearest half inch. Which measurement is closest to the area of the model of the backboard in square inches?

12inches

Step-by-step explanation:

Area of the backboard = Area of the rectangle+area of the semicircle

Area of a rectangle = Length × Width

Area of the semicircle = πd²/8

Area of the backboard = LW+πd²/8

From the diagram, we are given

L = 1.5inches

W = 4inches = diameter of the semicircle

Substitute the given parameters into the formula:

Area of the backboard = (1.5×4)+(π(4)²/8)

Area of the backboard = 6.0+16(3.14)/8

Area of the backboard = 6.0+2(3.14)

Area of the backboard = 6.0+6.28

area of the backboard = 12.28in²

Hence the measurement closest to the area of the model of the backboard in square inches is 12inches

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