A rectangular swimming pool with an area of 120 m² is
to be constructed. Suppose that the length of the pool
should 7 m longer than its width.
I need to know the width and the length.
If possible I would be thankful if there's a solving steps
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Verified answer
Answer:
width = 7meters
length = 15meters
Step-by-step explanation:
let x = width
x+7 = length
area of a rectangle = L x W
creating an equation based on the problem we get:
x(x+7) = 120 -----> multiply
x²+7x = 120 -----> arrange the terms
x²+7x-120=0 ------> factor the QE
(x+15)(x-8) = 0 ------> get the values
x+15=0 x-8=0
x=-15 x=8
we will only get the positive value of x because there are no negative values in terms of measurements , sides , etc.
substituting the value of x = 8 to the length and width
x = width
8m = width
x+7 = length
8+7 = length
15m = length