Question 1185241: The area of a rectangular garden is 140m2.If its length is 4m more than its width,find the dimensions.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the area is equal to 140 square meters.
area is equal to length * width.
let L equal the length and W equal the width.
you ge t:
L * W = 140
if the length is 4 meters longer than the width, the formula becomes:
(W + 4) * W = 140
simplify to get:
W^2 + 4W = 140
subtract 140 from both sides of the equation to get:
W^2 + 4W - 140 = 0
factor this quadratic equation to get:
(W + 14) * (W - 10) = 0
set each factor equal to 0 and solve for x to get:
W = -14 or W = 10
since W has to be positive, the value of W must be equal to 10.
confirm this is correct by replacing W with 10 in the original equation.
you get (W + 4) * (W) = 120 which becomes:
14 * 10 = 140
since this is true, the value of W = 10 is confirmed to be good.
your solution is:
the rectangle has a length of 14 and a width of 10.
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