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amm1812
3 years ago
11

the area of a rectangle is given by the expression x^2+5x+4. If the length of one side is given by x+2, what is the length of th

e other side?
Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer: \frac{(x+4)(x+1)}{x+2}

Step-by-step explanation:

The area of a rectangle A is given by the multiplication of its base b by its height h:

A=(b)(h)=x^{2}+5x+4 (1)

In addition we are told the length of one of the sides (let's choose b) is:

b=x+2 (2)

Substituting (2) in (1):

(x+2)h=x^{2}+5x+4 (3)

Isolating h:

h=\frac{x^{2}+5x+4}{(x+2)}

Factoring in the numerator:

h=\frac{(x+4)(x+1)}{x+2} This is the length of the other side of the rectangle

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