SOLUTION: okay so the length of the rectangle is 4m more than the width and the area is 45m squared what is the length and width? im having trouble and i would like to know the equation that

Algebra ->  Rectangles -> SOLUTION: okay so the length of the rectangle is 4m more than the width and the area is 45m squared what is the length and width? im having trouble and i would like to know the equation that      Log On


   

Question 890237: okay so the length of the rectangle is 4m more than the width and the area is 45m squared what is the length and width? im having trouble and i would like to know the equation that i need to use to solve this and other problems similar to this please
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Write everything in the description in mathematical symbols.

w for width
L for length

L=4+2w and wL=45.
A substitution is possible. You will have a quadratic equation to solve.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

okay so the length of the rectangle is 4m more than the width and the area is 45m squared what is the length and width? im having trouble and i would like to know the equation that i need to use to solve this and other problems similar to this please


Let width be W

Then length = W + 4

Since area = 45m%5E2, then we can say that: W(W + 4) = 45

highlight_green%28highlight_green%28W%5E2+%2B+4W+-+45+=+0%29%29

This is the quadratic equation you'd need to solve for W, or the width. You can then determine the length.

Notice that it can be factored, so it's easy to determine the dimensions of the rectangle.