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Mensuration

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Q 1. The difference of the areas of two squares drawn on two line segments of different lengths is {tex} 32 \mathrm { sq\ .cm } {/tex}. Find the length of the greater line segment if one is longer than the other by {tex} 2 \mathrm { cm } . {/tex}

{tex} 7 \mathrm { cm } {/tex}

{tex} 9 \mathrm { cm } {/tex}

{tex} 11 \mathrm { cm } {/tex}

{tex} 16 \mathrm { cm } {/tex}

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Q 2. If the diagonals of two squares are in the ratio of {tex} 2: 5 , {/tex} their area will be in the ratio of

{tex} \sqrt { 2 }: \sqrt { 5 } {/tex}

{tex}2:5{/tex}

{tex}4:25{/tex}

{tex}4:5{/tex}

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Q 3. The length of diagonal of a square is {tex} 15 \sqrt { 2 } \mathrm { cm } . {/tex} Its area is

{tex} 112.5 \mathrm { cm } ^ { 2 } {/tex}

{tex} 450 \mathrm { cm } ^ { 2 } {/tex}

{tex} \frac { 225 \sqrt { 2 } } { 2 } \mathrm { cm } ^ { 2 } {/tex}

{tex} 225 \mathrm { cm } ^ { 2 } {/tex}

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Q 4. A street of width {tex} 10{/tex} metres surrounds from outside a rectangular garden whose measurement is {tex} 200 \mathrm { m } \times 180 \mathrm { m } {/tex}. The area of the path (in square metres) is

8000

7000

7500

8200

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