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The floor of a rectangular room is $15 m$ long and $12 m$ wide. The room is surrounded by a verandah of width $2 m$ on all its sides. Then find the area of the veranda.

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124 m^{2}

120 m^{2}

108 m^{2}

58 m^{2}

answer is A.

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Detailed Solution

Given is the rectangle,
Question Image

From the above diagram we can observe that, length of big rectangle is =

15 + 2 + 2

\Rightarrow

Length of big rectangle

= 19 m

Area of rectangle

= length \times breadth

Area of outer rectangle

= length \times width

\Rightarrow

Area of outer rectangle

= 19 \times 16

\Rightarrow

Area of outer rectangle

= 304 m^{2}

Area of inner rectangle

= length \times width

\Rightarrow

Area of inner rectangle

= 15 \times 12

\Rightarrow

Area of inner rectangle

= 180 m^{2}

∴

Required area

= (Area of big rect . - Area of small rect .)

\Rightarrow

Required area

= (304 - 180) m^{2}

\Rightarrow

Required area

= 124 m^{2}

So, area of veranda is

124 m^{2} .

Hence, the correct option is 1.

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The floor of a rectangular room is 15 m long and 12 m wide. The room is surrounded by a verandah of width 2 m on all its sides. Then find the area of the veranda.

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The floor of a rectangular room is $15 m$ long and $12 m$ wide. The room is surrounded by a verandah of width $2 m$ on all its sides. Then find the area of the veranda.