SOLUTION: A celebrity couple wants to have a rectangular pool put in the backyard of their vacation home. They want it to be 24 meters long, and they insist it have at least as much area as

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A celebrity couple wants to have a rectangular pool put in the backyard of their vacation home. They want it to be 24 meters long, and they insist it have at least as much area as       Log On


   

Question 885946: A celebrity couple wants to have a rectangular pool put in the backyard of their vacation home. They want it to be 24 meters long, and they insist it have at least as much area as the neighbors pool, which is a square 12 meters on a side. Find the dimensions of the smallest pool that meets these criteria.
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Their neighbors have a pool 12*12 for an area of 144 sq m.
We know one side of the couple's pool is 24.
24 * 1 = 24
24 * 2 = 48
24 * 3 = 72
24 * 4 = 96
24 * 5 = 120
24 * 6 = 144
The smallest dimensions that yield an area of at least 144 and include 24 are 24*6, which is the same area as their neighbors'.