The width of a rectangle measures 4 cm less than the length What is the area of the rectangle if it's perimeter is equal to 100cm?

Let X represent the length, then X-4 represents the width. Perimeter of the rectangle is length plus width multiplied by two. Hence, 2(X + X - 4) = 100; 4X - 8 = 100; 4X = 108; X = 27. The length is 27 mm and the width is 27 - 4 = 23 mm. width = w

length = w + 4

perimeter = w + w + w + 4 + w + 4 = 100

4w + 8 = 100

4w = 92

w = 23

width = 23

length = 27

area = 23 x 27 = 621