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Please help with math question?!?
A rectangle has length (x + 4) cm. the area of the rectangle is given by the expression (x^2 + 2x - 8) cm^2. What is the rectangle's width?
5 Answers
- 5 years agoFavourite answer
Factorize by splitting the middle term.
x^2 + 2x - 8 = 0
x^2 + 4x - 2x - 8 = 0
x(x + 4) - 2(x + 4)
(x - 2) (x + 4)
Width will be (x - 2) cm
- Anonymous5 years ago
A rectangle has length (x + 4) cm. the area of the rectangle is given by the expression (x^2 + 2x - 8) cm^2. What is the rectangle's width?
factor the expression for the area...
x² + 2x - 8 = (x + 4)(x - 2)
if the length is (x + 4) cm, then the width MUST BE: (x - 2) cm
that was easy !!
- PhilipLv 65 years ago
L = (x+4). A = x^2 + 2x - 8 = (x+4)(x-2) = L*W. Then W = A/L = (x-2). [units
are cm.]
- 5 years ago
(x^2+2x-8)= (x+4)(x-2)
width is x-2 cm since length * width =area
