A rectangular yard 102 feet long and 68 feet wide has some dead grass spots. The sprinkling system waters with 6 sprinklers. They water in a circle that touches the next circle, 3 on top and 3 on bottom. The radius each sprinkler covers is 17 feet.

Use pi = 3.14 and round your answers to one decimal place.

a. How much area does one sprinkler cover?

b. How much area do all 6 sprinklers cover?

c. What is the area of the lawn?

d. What area of the lawn is not watered?

Question

Mathematics

Sydney Sutton

10 June, 01:02

A rectangular yard 102 feet long and 68 feet wide has some dead grass spots. The sprinkling system waters with 6 sprinklers. They water in a circle that touches the next circle, 3 on top and 3 on bottom. The radius each sprinkler covers is 17 feet.

Use pi = 3.14 and round your answers to one decimal place.

a. How much area does one sprinkler cover?

b. How much area do all 6 sprinklers cover?

c. What is the area of the lawn?

d. What area of the lawn is not watered?

+1

Answers (1)

Know the Answer?

Shaun Mata · Answer 1

a, Area of circle is pi*r^2

3.14 (17) ^2=907.46 feet^2

b, Multiply the area of one by six.

907.46*6=5444.76 feet^2

c, Length*width = 102*68 = 6936 feet^2

d, subtract area watered from area total

6936-5444.76=1491.24 feet^2