Question

The irrigation design for a new backyard is shown with four sprinkler heads and two walkways. The distance between grid lines is 3 feet.

Answer 1

Answer:

Each sprinkler head is placed more than 3 feet from the walkway; The total area watered by each sprinkler is approximately 63.6 square feet; The total area watered by all the sprinklers is approximately 254 square feet.

Step-by-step explanation:

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Answer 2

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The irrigation design for a new backyard is shown with four sprinkler heads and two walkways.

The distance between grid lines is 3 feet.

Which statements about the design are true? Check all that apply.

A. Each sprinkler head is placed more than 3 feet from the walkway.

B. If two additional sprinkler heads are placed on the lawn, every square foot of the yard would be watered.

C. The total area watered by each sprinkler is approximately 63.6 square feet.

D. The total area watered by all the sprinklers is approximately 254 square feet.

E. If the sprinklers were placed in two straight lines on the yard, they would water a greater amount of the lawn.

Answer:

The true statements are A, C and D

Step-by-step explanation:

• A). Each sprinkler is set farther away from the walkway than 3 feet, as can be seen from the distance between the sprinkler heads and the walkway, which is more than one grid long.
• B). It is uncertain whether every square foot of the yard would be watered if two additional sprinkler heads were placed on the lawn because the location of the additional sprinklers is not known.
• C). The radius of each sprinkler's watered area is 1.5 grid points, or 4.5 feet.
• Area each spray watered is therefore r2 = (3.14)(4.5)2 = 63.58 =  63.6 feet2.
• D). One sprinkler's watering area is 63.6 feet2.
• hence, the total area that four sprinklers may cover is 4 x 63.6, or 254 feet2.
• E). The area watered by the sprinklers will be the same if they are positioned in two straight lines on the lawn. They won't water any additional areas.

A, C and D are the true statements.

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