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Mathematics

Find the area of a rectangular part which is 363536\dfrac{3}{5} m long and 162516\dfrac{2}{5} m broad.

Rational Numbers

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Answer

We know that area of a rectangle = length × breadth.

Length of the rectangular part =3635 m=1835 m= 36\dfrac{3}{5} \text{ m} = \dfrac{183}{5} \text{ m}

Breadth of the rectangular part =1625 m=825 m= 16\dfrac{2}{5} \text{ m} = \dfrac{82}{5} \text{ m}

Finding the area,

1835×825=183×825×5=1500625=600625 sq. m\dfrac{183}{5} \times \dfrac{82}{5} = \dfrac{183 \times 82}{5 \times 5} \\[1em] = \dfrac{15006}{25} \\[1em] = 600\dfrac{6}{25} \text{ sq. m}

Hence, the area of the rectangular part is 600625 sq. m\mathbf{600\dfrac{6}{25} \text{ sq. m}}.

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