# Increase the length of the rectangle by 10% and the width by 20%. By what percentage the area of the rectangle has increased.

March 29, 2021 | education

| Assume that the length of the rectangle is x and the width is y.

After the length of the rectangle was increased by 10%, it became x + 0.1x = 1.1x.

After the width of the rectangle was increased by 20%, it became y + 0.2y = 1.2y.

Then the area became: 1.1X * 1.2Y = 1.32xy, and it was x * y = xy, that is, it increased by 32%.

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