Answer:
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
