SSC > Mensuration

If the length of the diagonal AC of a square ABCD is {tex} 5.2 \mathrm { cm } , {/tex} then the area of the square is :

The length of the diagonal of a square is 'a'cm. Which of the following represents the area of the square (in sq. {tex} \mathrm { cm } . ) ? {/tex}

The diagonal of a square is {tex} 4 \sqrt { 2 } {/tex} {tex} \mathrm { cm } . {/tex} The diagonal of another square whose area is double that of the first square is :

The diagonal of a square {tex} A {/tex} is {tex} ( a + b ) . {/tex} The diagonal of a square whose area is twice the area of square {tex} \mathrm { A } , {/tex} is

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}

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

The perimeter of five squares are {tex} 24 \mathrm { cm } , 32 \mathrm { cm } , 40 \mathrm { cm } , 76 \mathrm { cm } {/tex} and {tex} 80 \mathrm { cm } {/tex} respectively. The perimeter of another square equal in area to sum of the areas of these squares is :

The ratio of the area of a square to that of the square drawn on its diagonal is :

From four corners of a square sheet of side {tex} 4 \mathrm { cm } , {/tex} four pieces, each in the shape of are of a circle with radius {tex} 2 \mathrm { cm } , {/tex} are cut out. The area of the remaining portion is :

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

A kite in the shape of a square with a diagonal {tex} 32 \mathrm { cm } {/tex} attached to an equilateral triangle of the base {tex} 8 \mathrm { cm } {/tex}. Approximately how much paper has been used to make it? (Use {tex} \sqrt { 3 } = 1.732 ) {/tex}

The breadth of a rectangular hall is three-fourth of its length. If the area of the floor is 768 sq. {tex} \mathrm { m } {/tex}. then the difference between the length and breadth of the hall is:

The length of a plot is five times its breadth. A playground measuring 245 square metres occupies half of the total area of the plot. What is the length of the plot?

The length of a rectangular garden is 12 metres and its breadth is 5 metres. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden :

A circular wire of diameter {tex} 42 \mathrm { cm } {/tex} is folded in the shape of a rectangle whose sides are in the ratio 6: 5 . Find the area enclosed by the rectangle. (Take {tex} \left. \pi = \frac { 22 } { 7 } \right) {/tex}

A took {tex}15{/tex} sec. to cross a rectangular field diagonally walking at the rate of {tex} 52 \mathrm { m } / \mathrm { min } {/tex}. and {tex} \mathrm { B } {/tex} took the same time to cross the same field along its sides walking at the rate of {tex} 68 \mathrm { m } / {/tex} min. The area of the field is:

The difference between the length and breadth of a rectangle is {tex}23 \mathrm { m } {/tex}. If its perimeter is {tex} 206 \mathrm { m } , {/tex} then its area is

There is a rectangular tank of length {tex} 180 \mathrm { m } {/tex} and breadth {tex} 120 \mathrm { m } {/tex} in a circular field. If the area of the land portion of the field is {tex} 40000 \mathrm { m } ^ { 2 } , {/tex} what is the radius of
the field {tex} ? {/tex} (Take {tex} \pi = \frac { 22 } { 7 } {/tex} )

The length of a rectangular hall is {tex} 5 \mathrm { m } {/tex} more than its breadth. The area of the hall is {tex} 750 \mathrm { m } ^ { 2 } . {/tex} The length of the hall is :

If the length and breadth of a rectangle are in the ratio {tex} 3: 2{/tex} and its perimeter is {tex} 20 \mathrm { cm } {/tex}, then the area of the rectangle ( {tex} \mathrm { i } \mathrm { n } {/tex}, {tex} \mathrm { cm } ^ { 2 } {/tex} ) is :

A path of uniform width runs round the inside of a rectangular field {tex} 38 \mathrm { m } {/tex} long and {tex} 32 \mathrm { m } {/tex} wide. If the path occupies {tex} 600 \mathrm { m } ^ { 2 } {/tex}, then the width of the path is

The length and breadth of a rectangle are increased by {tex} 20 \% {/tex} and {tex} 25 \% {/tex} respectively. The increase in the area of the resulting rectangle will be :

The length of a room floor exceeds its breadth by {tex} 20 \mathrm { m } {/tex}. The area of the floor remains unaltered when the length is decreased by {tex} 10 \mathrm { m } {/tex} but the breadth is increased by {tex} 5 \mathrm { m } {/tex}. The area of the floor (in square metres) is:

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

In measuring the sides of a rectangle, there is an excess of {tex} 5 \% {/tex} on one side and {tex} 2 \% {/tex} deficit on the other. Then the error percent in the area is