Question

A man was allotted a rectangular plot measuring 20 m x 15 m. On measuring, he found that its length decreases
by 10% and breadth increases by 15%. Find the percentage increase in its area.​

Answer 1

If the original length was x, the new length will be x+(10% of x) = x+0.10x = 1.1x.

If the original width was y, the new width will be y - (5% of y) = y - 0.05y = 0.95y

The original area was length*width = xy

The new area will be length*width = (1.1x)(0.95y) = 1.045xy.

The area will increase by four and a half percent.

Answer 2

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