Question

A rectanglular swimming pool has a length of 25 feet and a width of 12 feet. You want to ass a gravel walkway that is 4 feet wide all the way around the pool. What is the area of the gravel walkway

Answer 1

You want to put a fence in the shape of a rectangle around your new house. The fence you want to purchase is $7.00 per foot and you have a budjet of $2,100. What is the maximum area that you are able to fence with your budget

Answer 2

total area = (25+8)(12+8)
water surface area = 25*12 = 300ft^2

subtract

Answer 3

fence length = 300 feet

max is a square
300 = 4s
s= 300/4 = 75
area = s^2 = 5625

Answer 4

Now do you know way the biggest rectangle area for 300 foot fence is a square?


fence = 2 L + 2 w = 300
so
L = 150 - w

A = L W
A = (150-w)w = 150 w - w^2

so
w^2 -150 w = - A

w^2 - 150 w + 75^2 = -A + 5625
vertex at
w = 75
area = 5625