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

Answer:

Length is 19 feet.

Width is 13 feet.

Step-by-step 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