A building in a city has a rectangular base. The length of the base measures 75 ft less than twice the width. The perimeter of this base is 750 ft. What are the dimensions of the​ base?

Answer 1

length = 2w-75 and width = w

Perimeter of rectangle = 2(l+w)

Now place the values in the formula:

750 = 2(2w-75+w)

750 = 4w-150+2w

750=6w-150

750+150 = 6w-150+150 (add 150 on both side)

900=6w

900/6=6w/6 (divide 6 on both sides)

150 = w

length = 2w-75

=2(150)-75 (place the value of w)

=300-75

=225

Therefore, length of the base is 225ft and width is 150ft..