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USPshnik [31]
4 years ago
15

The area of a rectangle is given by the expression x2 + 5x + 4. If the length of one side is given by x + 2, what is the length

of the other side?
Mathematics
2 answers:
vagabundo [1.1K]4 years ago
8 0

Answer:

The length of the other side is b=\frac{(x+4)(x+1)}{x+2}

Step-by-step explanation:

Given : 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.

To find : What is the length of the other side?      

Solution :

The formula of area of rectangle is

A=length\times breadth

Where, A=x^2 + 5x + 4

and one side length is l=x+2

We have to fond other side i.e. breadth b

Substitute in the formula,

x^2 + 5x + 4=x+2\times b

b=\frac{x^2 + 5x + 4}{x+2}

b=\frac{x^2+4x+x + 4}{x+2}

b=\frac{(x+4)(x+1)}{x+2}

Therefore, The length of the other side is b=\frac{(x+4)(x+1)}{x+2}

Mars2501 [29]4 years ago
3 0
If I'm understanding correctly, then...

(X^2+5x+4)/(x+2)=the length of the other side
Length= x+3+((-3)/(x+2))

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