SOLUTION: hi! i'm doing mymaths homework and it says, write an expression for this rectangle side one x+2 side two x. I have wrote the expression x squared+2x. Now it says set up a quad

Question 736089: hi! i'm doing mymaths homework and it says,
write an expression for this rectangle side one x+2 side two x.
I have wrote the expression x squared+2x.
Now it says set up a quadratic equation to describe the situation, then solve it.
Please Help+Thanks!
Erin
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Multiplying the expressions for the measures of the sides of a rectangle gives you the area of the rectangle.

is indeed the correct expression for the product you describe and had you provided a number that represents the area of the rectangle, it would be a simple matter to set your product of sides expression equal to the given area from which it is a fairly simple manipulation to construct a quadratic equation in standard form. But lacking such a number representing the area, I can only show you in general what to do. Let

represent the numerical value of the area of your rectangle. Then:

which can be converted to

Substitute your area value when you find it and solve the quadratic. By the way, such a quadratic will have two distinct roots and one of them will be negative. Since a negative number is an absurd value for a measure of the length of a side of a rectangle, discard that root. The positive root will be the width of your rectangle and the value

will be the length.

John

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