12. The length of a rectangle is twice that of its breadth. If the length of the rectangle is increased
by 20% while its breadth is decreased by 20%, determine the percentage change, if any, in its
perimeter.
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Consider rectangle A with sides of 100 cm x 10 cm. Its area = 1000 sq cm.
Next take rectangle B with sides of 120 cm x 8 cm. Its area = 960 sq cm.
Rectangle B is 40 sq cm less than rectangle A.
Decrease in area of B over A = 40*100/1000 = 4%.
Conclusion: If the length of a rectangle is increased by 20% and the breadth decreased by 20%, the area of the rectangle reduces by 4%.
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