if the length of a rectangle is increased by 40% and its width is decreased by 40% what is the effect on the rectangles area ?
Accepted Solution
A:
Answer: The area is multiplied by 0.84 (decreased 16%)Step-by-step explanation:The length is multiplied by (1 +0.40) = 1.4.The width is multiplied by (1 -0.40) = 0.6So, the new area is ... A = (L·1.4)·(W·0.6) = LW·0.84The original area was the product of the original length and width, so was LW. This means the new area is 0.84 times the original area. 0.84 = 1 - 0.16so, another way to describe the change is to say the area decreased 16%.