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

Question

Mathematics

Aires

30 October, 02:35

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

+2

Answers (2)

Know the Answer?

Laylah Foley · Answer 1

Correct option: First one: Area = 8pi + 180

Step-by-step explanation:

To find the amount of artificial grass to cover the area, we need to find the total area of the three parts of the composite figure:

Square: area = 6*6 = 36 ft2

Rectangle: area = 18*8 = 144 ft2

Semicircle: area = pi*d^2/8 = 64pi/8 = 8pi

So the total area is 36 + 144 + 8pi = 8pi + 180

Correct option: the first one

Shaw · Answer 2

Answer is A