Asked by William
The surface area covered by a rectangular playground is 100 square yards. The width of the playground is 15 yards longer than its length. Using factors, find the length and the width of the playground.
Answers
Answered by
Reiny
Usually the "length" of a rectangle is greater than its "width", but anyway.....
let the length be x yds
then the width is x+15 yds
x(x+15) = 100
x^2 + 15x - 100 = 0
(x - 5)(x + 20) = 0
x = 5 or x = -20, the latter is not possible
the length is 5 and the width is 20 yards
let the length be x yds
then the width is x+15 yds
x(x+15) = 100
x^2 + 15x - 100 = 0
(x - 5)(x + 20) = 0
x = 5 or x = -20, the latter is not possible
the length is 5 and the width is 20 yards
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