Step-by-step explanation:
l = length
w = width
l = w + 2
l×w = area = (w + 2)×w = w² + 2w
l×(w + 4) = area + 88
(w + 2)×(w + 4) = w² + 2w + 88
w² + 6w + 8 = w² + 2w + 88
6w + 8 = 2w + 88
4w = 80
w = 20 cm
l = w + 2 = 20 + 2 = 22 cm
the original length is 22 cm.
the original width is 20 cm.
the original area (22×20) is therefore 440 cm².
the new area (22×24) would be 528 cm².
