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Question 1. The length and the breadth of a rectangular plot are m and 65 m. Question 2. The length and breadth of a rectangular field are in the ratio 7 : 4. If its perimeter is m, find its length and breadth. Question 3. The length of a rectangular field is 30 m and its diagonal is 34 m. Find the breadth of the field and its perimeter. Question 4. Find its perimeter. Question 5. Question 6. Question 7. The length and breadth of rectangular piece of land are in the ratio of 5 : 3.

Question 8. A wire is in the shape of square of side 20 cm. If the wire is bent into a rectangle of length 24 cm, find its breadth. Question 9. Question Find the perimeter and the side of the square field. The length and the breadth of a rectangle are 36 cm and 28 cm. If its perimeter is equal to the perimeter of a square, find the side of the square. The radius of a circle is 21 cm. The circumference of a circle is cm.

Find its radius and diameter. The diameter of a circular field is 56 m. The radii of two circles are 20 cm and 13 cm. Find the difference between their circumferences. The diameter of a circle is 42 cm, find its perimeter. If the perimeter of the circle is doubled, what will be the radius of the new circle. The perimeter of a square and the circumference of a circle are equal. If the length of each side of the square is 22 cm, find: i perimeter of the square.

Find the radius of the circle whose circumference is equal to the sum of the circumferences of the circles having radii 15 cm and 8 cm. Find the diameter of a circle whose circumference is equal to the sum of circumference of circles with radii 10 cm, 12 cm and 18 cm. The circumference of a circle is eigth time the circumference of the circle with radius 12 cm.

Find its diameter. The radii of two circles are in the ratio 3 : 5, find the ratio between their circumferences. The circumferences of two circles are in the ratio 5 : 7, find the ratio between their radii. The perimeters of two squares are in the ratio , find the ratio between the lengths of their sides. The lengths of the sides of two squares are in the ratio , find the ratio between their perimeters. Each side of a square is 44 cm. If this perimeter is equal to the circumference of a circle, find the radius of the circle.

Find the area of a rectangle whose length and breadth are 25 cm and 16 cm. The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board. The sides of a rectangular park are in the ratio 4 : 3. A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.

The length and breadth of a rectangular piece of land are in the ratio 5 : 3. Find the area of the square whose perimeter is 56 cm. A square lawn is surrounded by a path 2. If the area of the path is m 2 find the area of the lawn. For each figure, given below, find the area of shaded region : All measurements are in cm Solution:. One side of a parallelogram is 20 cm and its distance from the opposite side is 16 cm.

Find the area of the parallelogram. The base of a parallelogram is thrice it height. If its area is cm 2 , find the base and the height of the parallelogram. Find the area of the rhombus, if its diagonals are 30 cm and 24 cm. If the area of a rhombus is cm 2 and one of its diagonals is 14 cm, find its other diagonal. One side of a parallelogram is 18 cm and its area is cm 2. Find the distance of the given side from its opposite side. The adjacent sides of a parallelogram are 15 cm and 10 cm. If the distance between the longer sides is 6 cm, find the distance between the shorter sides.

The area of a rhombus is 84 cm2 and its perimeter is 56 cm. Find its height. Find the area of a triangle whose base is 30 cm and height is 18 cm.

Find the height of a triangle whose base is 18 cm and area is cm 2. The area of a right-angled triangle is cm 2. If its one leg is 16 cm long, find the length of the other leg.

Find the area of a right-angled triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long. Find the area of an equilateral triangle whose each side is 16 cm. The sides of a triangle are 21 cm, 17 cm and 10 cm. Find its area. Find the area of an isosceles triangle whose base is 16 cm and length of each of the equal sides is 10 cm. Find the base of a triangle whose area is cm 2 and height is 24 cm. T he legs of a right-angled triangle are in the ratio 4 :3 and its area is cm 2.

Find the length of its legs. The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is cm. Find the area of the triangle. The diameter of a circle is 20 cm. The circumference of a circle exceeds its diameter by 18 cm. Find the radius of the circle. The ratio between the radii of two circles is 5 : 7.

Find the ratio between their : i circumference ii areas Solution:. The ratio between the areas of two circles is 16 : 9. Find the ratio between their : i radii ii diameters iii circumference Solution:. A circular racing track has inner circumference m and outer circumference m. Find the width of the track. The inner circumference of a circular track is m and the width of the track is 7 m. Find: i the radius of the inner track. The diameter of every wheel of a car is 63 cm.

How much distance will the car move during revolutions of its wheel. The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel one kilometre? A metal wire, when bent in the form of a square of largest area, encloses an area of cm 2. Find the length of the wire. If the same wire is bent to a largest circle, find: i radius of the circle formed. A wire is along the boundary of a circle with radius 28 cm.

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