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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

Respuesta :

Answer:

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

Lanuel

The square footage of artificial grass that is needed to cover this portion of the course is: A. 8π + 180 ft².

How to calculate the area of artificial grass?

In order to calculate the area of artificial grass that is required to cover this portion of the course, we need to determine the total area of the three different parts of the given composite figure as follows:

For the area of square, we have:

Area = 6 × 6

Area = 36 ft²

For the area of rectangle, we have:

Area = 18 × 8

Area = 144 ft²

For the area of semicircle, we have:

Area = πd²/8

Area = π8²/8

Area = 8π ft²

Therefore, the total area of this composite figure is given by:

Total area = 36 + 144 + 8π

Total area = 8π + 180 ft².

Read more on rectangle here: brainly.com/question/25292087

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