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If the length of a rectangle is increased by 2 units and width is decreased by 2 units, then its area is increased by 20 sq. unit. If length has been decreased by 2 units and width is decreased by 1 unit, then its area is decreased by 37 sq. unit. The area of the rectangle in sq. unit is

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Important Questions on Perimeter and Area

HARD

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

A sphere is divided in

2 : 3

. Big portion moulded into a cone of which base radius is equal to its height. While small portion moulded into a cylinder of which height is equal to base radius. Find the ratio of Base radius of cone and height of cylinder.

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

Find the perimeter (in

c m

) of a semicircle of radius

7 c m

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

If the perimeter of a semi-circle is

144 c m

, find its radius (in

c m

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

Find the total surface area (in

c m^{2}

) of a right circular cylinder of diameter

21 c m

and height

10 c m

MEDIUM

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

The length of a rectangular field is increased by

20 %

and its breadth is decreased by

20 %

. What is the per cent increase or decrease in its area?

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

The length of the diagonal and the breadth of a rectangle is

25 c m

and

7 c m

respectively. Calculate its area (in

c m^{2}

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

The curved surface area and the height of a right circular cylinder are

660 c m^{2}

and

10 c m

respectively. Find its diameter (in

c m

MEDIUM

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

The length of each equal side of an isosceles triangle is

10 c m

and the included angle between those two sides is

45 ° .

Find the area of the triangle.

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

The radius of a circular field is

31.5

metres. What is the circumference?

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

The perimeter and the breadth of a rectangle are $52 c m$ and $12 c m$ respectively. Find its area in $c m^{2}$ .

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

The curved surface area and the diameter of a right circular cylinder are

660 c m^{2}

and

21 c m

. respectively. Find its height (in

c m

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

If the area of a circle is $9 π$ sq.cm, then its circumference is:

1. $9$ cm
2. $6 π$ cm
3. $3 π$ cm
4. $6$ cm

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

What is the area (in

c m^{2}

) of a square having perimeter

84 c m

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

The area of a semicircle is

77 c m^{2}

. Calculate its perimeter in

c m

MEDIUM

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

A spherical ball of a lead of the radius

14 c m

is melted and recast into spheres of the radius

2 c m

.The number of small spheres is:

HARD

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

In order to measure the volume of irregular shaped stone, Peter kept the stone in a water filled pan having a radius of

5 c m

. If the level of water in the pan increases from

10 c m

17 c m

, then what is the volume of the stone?

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

By melting a solid cylinder of radius 3 cm and height 20 cm, five spherical balls each of same size are formed. Find the radius of each ball.

(A) 2 cm

(B) 3 cm

(D) 5 cm

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

Find the curved surface area

(i n c m^{2})

of right circular cylinder of diameter

21 c m

and height

10 c m

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

The area of a square field is

196

sq.m. What would be the length of the rope required to fence the field from any three sides?

EASY

Mathematics>Geometry>Perimeter and Area>Perimeter and area of squares and rectangle

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What is the area of this trapezoidal garden (All measurements are in cm)?

1. $60$ sq.cm
2. $180$ sq.cm
3. $210$ sq.cm
4. $240$ sq.cm

If the length of a rectangle is increased by 2 units and width is decreased by 2 units, then its area is increased by 20 sq. unit. If length has been decreased by 2 units and width is decreased by 1 unit, then its area is decreased by 37 sq. unit. The area of the rectangle in sq. unit is

Important Questions on Perimeter and Area

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