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The figure to the right is comprised of a rectangle and two half circles. The rectangle is 100 ft wide and 10 ft long. Find the total area of the figure. Show your work and/or explain your reasoning.

A-1,000ft^2
B-1,314ft^2
C-120ft^2
D-1,078.5ft^2

Pls help

The figure to the right is comprised of a rectangle and two half circles. The rectangle-example-1
User Padmalochan
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1 Answer

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15 votes

Answer:

D 1,078.5 ft^2

Explanation:

You want the area of a figure composed of a rectangle 100 ft long and 10 ft wide with semicircles of diameter 10 ft at each end.

Rectangle Area

The area of the rectangle is ...

A = LW

A = (100 ft)(10 ft) = 1000 ft²

Circle Area

The two half-circles have the area of a whole circle with radius 5 ft.

A = πr²

A = π(5 ft)² = 25π ft² ≈ 78.5 ft²

Total Area

The area of the figure is the sum of the areas of its parts:

total area = rectangle area + circle area

total area = 1000 ft² +78.5 ft² = 1078.5 ft²

The total area of the figure is about 1078.5 ft².

User SMP
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