The width of a rectangle is the sum of the length and 5. The area of the rectangle is 36 units. What id the width, in units, of the rectangle?
1 answer:
Answer:
Step-by-step explanation:
Let length = x
Width = x + 5
Area = 36
Area = length × width
36 = x(x + 5)
36 = x^2 + 5x
x^2 + 5x - 36 = 0
x^2 + 9x - 4x -36 =0
(x^2 + 9x) - (4x + 36) = 0
x(x + 9) - 4(x + 9) = 0
(x -4)(x+9) = 0
x - 4 = 0 or x + 9 = 0
x = 4 or -9
But x can only be positive because it is a length
x = 4unit = length
Width = x + 5 = 4 +5 = 9unit
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