SOLUTION: A corner lot has dimensions 25 by 40 yards. The city plans to take a strip of uniform width along the two sides bordering the streets to widen these roads. How wide should the stri

Question 1052453: A corner lot has dimensions 25 by 40 yards. The city plans to take a strip of uniform width along the two sides bordering the streets to widen these roads. How wide should the strip be if the remainder of the lot is to have an area of 844 square yards? (Round your answer to two decimal places.)
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Let w be the width of the strip. Then your new length would be 40-2w, and your new width would be 25-2w. So:
(40-2w)(25-2w)=844
1000-130w+4w�=844
4w�-130w+156=0
Using the quadratic formula, we get w=31.2520831887 or 1.24791681132.
Throwing out the larger result, we get the width of the strip to be approx. 1.25 yds. ☺☺☺☺
RELATED QUESTIONS
A corner lot has dimensions 25 by 40 yards. The city plans to take a strip of uniform... (answered by ewatrrr)

A rectangular parking lot has dimensions 16 metres by 40 metres. The total area of the... (answered by solver91311)

A rectangular lawn has dimensions 30 metres by 40 metres. A strip of uniform width is to... (answered by checkley71)

A rectangular parking lot has dimensions 16 metres by 40 metres. The total area of the... (answered by josmiceli)

The local park has a rectangular flowet bed that measures 10 feet by 15 feet. The... (answered by josgarithmetic)

Suppose that a strip of uniform width is plowed along both sides and both ends of a... (answered by ankor@dixie-net.com)

A garden plot 5m by 15m has one of its sides next to a wall. The area of the plot is to... (answered by stanbon)

A garden plot 5m by 15m has one of its longer sides next to a wall. The area of the plot... (answered by sofiyac)

A rectangular lawn has dimensions 30m by 40m. A strip of uniform width is to be placed... (answered by scott8148)