SOLUTION: a rectangular corner lot has sidewalks on two adjacent sides for a total length of 89 feet. if the diagonal path across the lot is 64 feet what is the length of the two sides of th
Algebra.Com
Question 742447: a rectangular corner lot has sidewalks on two adjacent sides for a total length of 89 feet. if the diagonal path across the lot is 64 feet what is the length of the two sides of the walk? Round answer to two decimal places.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
a rectangular corner lot has sidewalks on two adjacent sides for a total length of 89 feet. if the diagonal path across the lot is 64 feet what is the length of the two sides of the walk? Round answer to two decimal places.
***
Adjacent sides represent two legs of a right triangle with hypotenuse=64 feet
let x=length of one of the sides
89-x=length of other side
x^2+(89-x)^2=64^2
x^2+89^2-178x+x^2=4096
2x^2+7921-178x=4096
2x^2-178x+3825=0
solve for x using quadratic formula:
a=2, b=-178, c=3825
x=36.27
or
x=52.73
length of the two sides of the walk: 36.27 ft and 52.73 ft
RELATED QUESTIONS
A rectangular corner lot has sidewalks on two adjacent sides for a total length of 89... (answered by KMST)
a rectangular corner lot has sidewalks on two adjacent sides for a total length of 89... (answered by KMST)
understand and solve the situation:new houses are being constructed in calle serye. the... (answered by mananth,ikleyn)
a corner lot has an l-shaped sidewalk along its sides. The total length of the sidewalk... (answered by ankor@dixie-net.com)
A rectangular playing field is to be constructed such that the length of the diagonal and (answered by josgarithmetic)
A diagonal shortcut across an empty rectangular lot is 97 feet. The lot is 72 feet long.... (answered by robertb)
the varners live on a corner lot. Often, children cut across their lot to save walking... (answered by Alan3354)
two sides of a rectangular park are 50 meters and 120 meters long. A path runs diagonally (answered by ewatrrr)
the soule's live on a corner lot. Often children cut across their lot to save time.... (answered by MathLover1)