Selina solutions for Concise Mathematics [English] Class 7 ICSE chapter 20 - Mensuration [Latest edition]

The length and the breadth of a rectangular plot are 135 m and 65 m. Find, its perimeter and the cost of fencing it at the rate of ₹60 per m.

The length and breadth of a rectangular field are in the ratio 7 : 4. If its perimeter is 440 m, find its length and breadth. Also, find the cost of fencing it @ ₹150 per m.

The length of a rectangular field is 30 m and its diagonal is 34 m. Find the breadth of the field and its perimeter.

The diagonal of a square is `12sqrt2` cm. Find its perimeter.

Find the perimeter of a rectangle whose length = 22.5 m and breadth = 16 dm.

Find the perimeter of a rectangle with length = 24 cm and diagonal = 25 cm

The length and breadth of the rectangular piece of land area in the ratio of 5 : 3. If the total cost of fencing it at the rate of ₹48 per metre is ₹19,200, find its length and breadth.

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.

If P = perimeter of a rectangle, l= its length and b = its breadth find P, if l = 38 cm and b = 27 cm

If P = perimeter of a rectangle, l= its length and b = its breadth find b, if P = 88 cm and l = 24 cm

If P = perimeter of a rectangle, l = its length and b = its breadth; find l, if P = 96 m and b = 28 m.

The cost of fencing a square field at the rate of ₹ 75 per meter is ₹ 67,500. 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. Find the circumference (Take π = `3 1/7`).

The circumference of a circle is 440 cm. Find its radius and diameter. (Take π = `22/7`)

The diameter of a circular field is 56 m. Find its circumference and cost of fencing it at the rate of ₹80 per m. (Take π =`22/7`)

The radius of two circles are 20 cm and 13 cm. Find the difference between their circumferences. (Take π =`22/7`)

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? (Take π = `22/7`)

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.
(ii) circumference of the circle.
(iii) radius of the circle.

Find the radius of the circle whose circumference is equal to the sum of the circumferences of the circles having radius 15 cm and 8 cm.

Find the diameter of a circle whose circumference is equal to the sum of circumference of circles with radius 10 cm, 12 cm, and 18 cm.

The circumference of a circle is eigth time the circumference of the circle with a radius of 12 cm. Find its diameter.

The radius 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 radius.

The perimeters of two squares are in the ratio 8:15, find the ratio between the lengths of their sides.

The lengths of the sides of two squares are in the ratio 8:15, find the ratio between their perimeters.

Each side of a square is 44 cm. Find its perimeter. 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 m 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. If its area is 1728 m², find
(i) its perimeter
(ii) cost of fencing it at the rate of ₹40 per meter.

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. If the total cost of fencing it at the rate of ₹24 per meter is ₹9600, find its :
(i) length and breadth
(ii) area
(iii) cost of levelling at the rate of ₹60 per m².

Find the area of the square whose perimeter is 56 cm.

A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m² find the area of the lawn.

In the figure given below, find the area of shaded region: (All measurements are in cm)

In the figure given below, find the area of shaded region: (All measurements are in cm)

In the figure given below, find the area of shaded region: (All measurements are in cm)

In the figure given below, find the area of shaded region: (All measurements are in cm)

In the figure given below, find the area of shaded region: (All measurements are in cm)

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 768 cm², 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 112 cm² and one of its diagonals is 14 cm, find its other diagonal.

One side of a parallelogram is 18 cm and its area is 153 cm². 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 the height is 18 cm.

Find the height of a triangle whose base is 18 cm and the area is 270 cm².

The area of a right-angled triangle is 160 cm². 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. (Take `sqrt3`= 1.73)

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 the length of each of the equal sides is 10 cm.

Find the base of a triangle whose area is 360 cm² and height is 24 cm.

The legs of a right-angled triangle are in the ratio 4 : 3 and its area is 4056 cm². Find the length of its legs.

The area of an equilateral triangle is (`64xxsqrt3`) cm². Find the length of each side of the triangle.

The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is 168 cm. Find the area of the triangle.

The diameter of a circle is 20 cm. Taking π = 3.14, find the circumference and its area.

The circumference of a circle exceeds its diameter by 18 cm. find the radius of the circle.

The ratio between the radius of two circles is 5 : 7. Find the ratio between their:
(i) circumference
(ii) areas

The ratio between the areas of two circles is 16 : 9. Find the ratio between their :
(i) radius
(ii) diameters
(iii) circumference

A circular racing track has inner circumference 528 m and outer circumference 616 m. Find the width of the track.

The inner circumference of a circular track is 264 m and the width of the track is 7 m. Find:
(i) the radius of the inner track.
(ii) the radius of the outer circumference.
(iii) the length of the outer circumference.
(iv) the cost of fencing the outer circumference at the rate of ₹50 per m.

The diameter of every wheel of a car is 63 cm. How much distance will the car move during the 2000 revolutions of its wheel.

The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel one kilometer?

A metal wire, when bent in the form of a square of largest area, encloses an area of 484 cm². Find the length of the wire. If the same wire is bent to the largest circle, find:
(i) radius of the circle formed.
(ii) area of the circle.

A wire is along the boundary of a circle with a radius of 28 cm. If the same wire is bent in the form of a square, find the area of the square formed.

The length and breadth of a rectangular paper are 35 cm and 22 cm. Find the area of the largest circle which can be cut out of this paper.

From each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e., shaded portion.