Question

The area of a rectangle is 36 square centimeters. The length is 1 foot more than twice the width.

What is the width of the rectangle?

Answer 1

i hope this helps you

Answer 2

4 cm

Explanation:

In order to solve this problem we just have to remember the formula for the area of the rectangle:

`A=L*W`

Now we have to represent the values for width and lenth, we are going to use X for the width, and if the length is twice as much the width and is one foot more it will be represented by: 2x+1

So if we put the values into the formula we get an equation:

`A=(x)(x+1)\\A=x^(2) +x\\36=x^(2) +x\\x^(2) +x-36=0`

Now that we have our equation we can solve by factorizing it:

`x^(2)+x-36=0\\ (x+9)(x-4)=0`

Once we have the two factors we just equalize them to 0

And solve it for (x-4):

`x-4=0\\x=4`

So the width of the rectangle is 4 and the length is 9.