SOLUTION: A square garden has an area of 841 squared feet, and the gardener wants to install a sprinkler (with a circluar spraying pattern) at the center of the garden. What is the minimum
Algebra.Com
Question 639379: A square garden has an area of 841 squared feet, and the gardener wants to install a sprinkler (with a circluar spraying pattern) at the center of the garden. What is the minimum radius of spray the sprinkler would need in order to water all of the garden?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The sprinkling radius will have to be half the length of the diagonal of the square garden.
Garden is a square
The diagonal and the sides of square form a right triangle.
so the diagonal is the hypotenuse with the sides as the other two sides of a right triangle
let the length of side of square be x
area = x*x = x^2
x^2= 841
x= sqrt(841) = 29
side = 29
Apply pythagoras theorem
diagonal ^2= 29^2+29^2
diagonal^2= 1682
diagonal = 41.01
half the diagonal = 20.5 feet
The radius of the sprinkler
RELATED QUESTIONS
Gardening. A square garden has an area of 1089 squared feet, and the gardener wants to... (answered by ankor@dixie-net.com)
A square garden has an area of 1024 squared feet, and the gardener wants to install a... (answered by mananth)
A square garden has an area of 144 squared feet, and the gardener wants to install a... (answered by htmentor)
A gardener has a rectangular garden with an area of 374 yd2. The length of the garden is... (answered by ikleyn)
Your neighbor has a square garden, he wants to install a sprinkler in the center if the... (answered by richwmiller)
A gardener wants three rosebushes in her garden to be watered by a rotating water... (answered by richwmiller)
A circle has an area of 841 pi cm squared. What is the... (answered by Alan3354)
You have created a vegetable garden in a square wooden section of your yard that has an... (answered by josgarithmetic)
A gardener has 270 feet of fencing and wants to fence in a rectangular garden and then... (answered by josgarithmetic)