Question

The perimeter of a rectangle is 32 centimeters. the width is 77 centimeters. what is the area of the rectangle

Answer 1

first find length. p=2(l+w)
32=2l+154
32-154=2l
-122=2l divide both sides by 2
l=-61
area=(l x w)
A=-61 x 77=-4697 square cm

Answer 2

As P = 2L + 2W
32 = 154 + 2W
So L = -61

However it is impossible for the length of a rectangle to be less than 0, i.e. negative. So this rectangle does not exist and hence has no area, length, width or perimeter.