Question

A designer had to change the size of a rectangular carpet. He increased the length by 50% and decreased the width by 20%. By what percent was the area of the final item changed?

Answer 1

Answer:

20%

Step-by-step explanation:

A1 = LW

{(50/100)L+L}×{W-20/100W}

(3/2L)×(4/5W) ≡ 6/5LW

A2 = 6/5LW

A = A2 - A1

A = (5/6)LW - LW

A = 1/5LW  

Change in area = 1/5

                          = 20%