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A rectangular block of land has sides 2 kilometres long and 6 kilometres wide.The farmer buys an adjacent rectangular block of land so that the 6 kilometre sides are increased by 25%.The new area will be  km2.Answer

Question

A rectangular block of land has sides 2 kilometres long and 6 kilometres wide.The farmer buys an adjacent rectangular block of land so that the 6 kilometre sides are increased by 25%.The new area will be  km2.Answer

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Solution

The original area of the land is calculated by multiplying the length by the width. So, the original area is 2 km * 6 km = 12 km^2.

The farmer then buys an adjacent block of land which increases the 6 km side by 25%. So, the new length of this side is 6 km + (25/100 * 6 km) = 7.5 km.

The new area of the land is then calculated by multiplying the original width (which hasn't changed) by the new length. So, the new area is 2 km * 7.5 km = 15 km^2.

This problem has been solved

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