Question

A rectangle is drawn so that the width is 5 feet shorter than the length. The area of the rectangle is 14 square feet. Find the length of the rectangle.

Answer 1

Set up an equation. Make the length x and you can make the width x-5. In order to fir the width is 5 feet smaller than the length. Now the formula for area is length times width. So plug in what you know.
x(x-5)=14 distribute the x
X^2-5x=14 move the 14 over
X^2-5x-14=0 use factoring to figure out
(X-7)(X+2)=0
Now x can equal 7 and negative 2
Since the length cannot be negative we get rid of negative 2
So we have x equals 7 plug that in. We get length =7 and width =2

Answer 2

Hello There!

Area = l x w
14 =
`x * x - 5`
Multiples of 14:
1 and 14
7 and 2
7 and 2 are the only ones with a difference of 5.

Therefore, the length is 7ft and the width is 2ft.

Hope This Helps You!
Good Luck :)

- Hannah ❤