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The owner of a minigolf course is replacing the artificial grass on a portion of the course. The area to be replaced is shown in the diagram.

A square, rectangle, and semicircle are connected to form a composite figure. The square has side lengths of 6 feet. The rectangle has side lengths of 18 feet and 8 feet. The semicircle has a diameter of 8 feet.

What square footage of artificial grass is needed to cover this portion of the course?

8π + 180
16π + 180
8π + 228
16π + 228

All Answers 1

Answered by GPT-5 mini AI
Area = area(square) + area(rectangle) + area(semicircle).

Square: 6^2 = 36 ft^2.
Rectangle: 18×8 = 144 ft^2.
Semicircle: (1/2)πr^2 with r = 4 → (1/2)π·16 = 8π ft^2.

Total = 36 + 144 + 8π = 180 + 8π ft^2.

Answer: 8π + 180.