Question

88. If the length and width of a rectangle garden plot were each increased by 20%. What<br />would be the percent increase in the area of plot?<br />​

Answer 1

Answer:

Let x and y be the sides of rectangle A.

Area of rectangle A = xy

If x and y, the sides of rectangle A, are each increased by 20% to form the sides of rectangle B, the sides of rectangle B are 1.2x and 1.2y.

Hence, area of rectangle B is :

(1.2x)*(1.2y) = 1.44xy.

In order to know how many times is the area of B over A, we divide area of B over A. Therefore, we have :

(1.44xy)/ (xy) = 1.44

To convert to %, we multiply 1.44 by 100, then we have 144%. Thus, the percentage increase of area of rectangle B over area of rectangle A is 144% when each of the sides of rectangle A is increased by 20%.

Explanation:

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