Question

Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer 1

Width = 6mi

Length = 12mi

Explanation:

Let's say our length = x

Since the width is 6 miles less than the length, width = x - 6

The area of rectangle is width x length so just substitute your values

(x - 6)(x) = 72

therefore: x^2 - 6x = 72

*subtract 72 to form a quadratic equation

x^2 - 6x - 72 = 0

*solve by factorising

(x+6)(x-12) = 0

therefore x = -6 or 12

Since you can't have a negative length, x = 12

thus, our length is 12mi

To find the width, just subtract 6 which = 6mi

So: length = 12mi and width = 6mi

Answer 2

you have to solve the system:

1)W=L-6

2)W*L=72

so (L-6)*L=72

L^2-6L-72=0

(L-12)*(L+6)=0

so the answers for L are 12 and -6,but we only consider 12 cause there can't be -6miles. so L=12

and W=12-6, so W=6.