Question

The length of a rectangle is 6 feet more than 2 times its width. the perimeter of the rectangle is 90 feet. what is the length of the rectangle?

Answer 1

Let's find the formula for a rectangle:
2L+2W= 90
Now we know the length is equal to 6 more than 2 times the width, let's make the equation.
L=2w+6
Let's plug that in for L in the first equation.
2(2w+6)+2w=90
4w+12+2w
6w+12=90
6w=78
78÷6=13=w
The width is 13, but we need the length. We know the length is equal to 6 more than 2 times the width.
13×2= 26+6= 32
So, the length of the rectangle is 32 ft.