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Q.

A rectangular plot of land measures 105 m by 84 m. A path of uniform width 2.5 m is to be constructed all around inside the plot. Find the area of path inside the plot.

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a

860 m^{2}

b

940 m^{2}

c

466.25 m^{2}

d

920 m^{2}

answer is D.

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Detailed Solution

Area of path = Area of outside rectangle - Area of inside rectangle

= 105 \times 84 - (105 - 2 \times 2.5) (84 - 2 \times 2.5)

= 105 \times 84 - 100 \times 79

= 8820 - 7900

= 920 m^{2}

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