Question

A rectangle's width is 6 feet less than its length. If the area of the rectangle is 247 square feet, what is its length, in feet?

Answer 1

I hope this helps you

Answer 2

Length is 19 feet.

Width is 13 feet.

Explanation:

Let the length of the rectangle be = L feet

The width is 6 feet less than its length, so width is = L-6 feet

The area of the rectangle is 247 square feet, means length x width = 247

`L(L-6)=247`

`L^(2) -6L=247`

`L^(2) -6L-247=0`

Now here a = 1, b = -6 and c = -247

So, putting these in quadratic equation formula, we get

`L=\frac{-(-6)+\sqrt{(-6)^(2)-(4)*(1)*(-247) } }{2*1}`

This gives L=19 or -13

As it is a dimension, so we will neglect the negative value.

Hence, L = 19 feet

Width =
`19-6` = 13 feet