R d sharma mathematics solutions class 6 Solutions for Chapter 19 mensuration

Which of the following are closed curves? Which of them are simple?

Find the perimeter of each of the following shapes:

Find the perimeters of the rectangles whose lengths and breadths are given below:

(i) 7 cm, 5 cm

(ii) 5 cm, 4 cm

(iii) 7.5 cm, 4.5 cm

Find the perimeters of the squares whose sides are given below:

(i) 10 cm

(ii) 5 m

(iii) 115.5 cm

Find the side of the square whose perimeter is:

(i) 16 m

(ii) 40 cm

(iii) 22 cm

Find the breadth of the rectangle whose perimeter is 360 cm and whose length is

(i) 116 cm

(ii) 140 cm

(iii) 102 cm

A rectangular piece of lawn is 55 m wide and 98 m long. Find the length of the fence around it.

The side of a square field is 65 m. What is the length of the fence required all around it?

Two sides of a triangle are 15 cm and 20 cm. The perimeter of the triangle is 50 cm. What is the third side?

A wire of length 20 m is to be folded in the form of a rectangle. How many rectangles can be formed by folding the wire if the sides are positive integers in metres?

A square piece of land has each side equal to 100 m. If 3 layers of metal wire has to be used to fence it, what is the length of the wire needed?

Shikha runs around a square of side 75 m. Priya runs around a rectangle with length 60 m and breadth 45 m. Who covers the smaller distance?

The dimensions of a photographs are 30 cm × 20 cm. What length of wooden frame is needed to frame the picture?

The length of a rectangular field is 100 m. If the perimeter is 300 m, What is its breadth?

To fix fence wires in a garden, 70 m long and 50 m wide, Arvind bought metal pipes for bosts. He fixed a post every 5 metres apart. Each post was 2 m long. What is the total length of the pipes he bought for the posts?

Find the cost of fencing a rectangular park of length 175 m and breadth 125 m at the rate of Rs 12per meter.

The perimeter of a regular pentagon is 100 cm. How long is eachside?

Find the perimeter of a regular hexagon with each side measuring 8 m.

A rectangular piece of land measure 0.7 km by 0.5 km. Each side is to be fenced with four rows ofwires. What length of the wire is needed?

Avneet buys 9 square paving slabs, each with a side of ½ m. He lays them in the form of a square.

(i) What is the perimeter of his arrangement?

(ii) Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeterof her arrangement?

(iii) Which has greater perimeter?

(iv) Avneet wonders, if there is a way of getting an even greater perimeter. Can you find a way ofdoing this? (The paving slabs must meet along complete edges they cannot be broken)

The following figures are drawn on a squared paper. Count the number of squares enclosed by each figure and find its area, taking the area of each square as 1 cm².

On a squared paper, draw (i) a rectangle, (ii) a triangle (iii) any irregular closed figure. Find the approximate area of each by counting the number of squares complete, more than half and exactly half.

Draw any circle on the graph paper. Count the squares and use them to estimate the area of the circular region.

Use tracing paper and centimetre graph paper to compare the areas of the following pairs offigures:

Find the area of a rectangle, whose

(i) Length = 6 cm, breadth = 3 cm

(ii) Length = 8 cm, breadth = 3 cm

(iii) Length = 4.5 cm, breadth = 2 cm

Find the area of a square whose side is:

(i) 5 cm

(ii) 4.1 cm

(iii) 5.5 cm

(iv) 2.6 cm

The area of a rectangle is 49 cm² and its breadth is 2.8 cm. Find the length of the rectangle.

The side of a square is 70 cm. Find its area and perimeter.

The area of a rectangle is 225 cm² and its one side is 25 cm, find its other side.

What will happen to the area of rectangle if its

(i) Length and breadth are trebled

(ii) Length is doubled and breadth is same

(iii) Length is doubled and breadth is halved.

What will happen to the area of a square if its side is:

(i) Tripled

(ii) Increased by half of it.

Find the perimeter of a rectangle whose area is 500 cm² and breadth is 20 cm.

A rectangle has the area equal to that of a square of side 80 cm. If the breadth of the rectangle is 20 cm, find its length.

Area of a rectangle of breadth 17 cm is 340 cm². Find the perimeter of the rectangle.

A marble tile measures 15 cm × 20 cm. How many tiles will be required to cover a wall of size 4 m × 6m?

A marble tile measures 10 cm × 12 cm. How many tiles will be required to cover a wall of size 3 m ×4m? Also, find the total cost of the tiles at the rate of Rs 2 per tile.

One side of a square plot is 250 m, find the cost of levelling it at the rate of Rs 2 per squaremetre.

The following figures have been split into rectangles. Find their areas. (The measures are given in centimetres)

The following figures have been split into rectangles. Find their areas. (The measures are givenin centimetres)

How many tiles with dimensions 5 cm and 12 cm will be needed to fit a region whose length andbreadth are respectively:

(i) 100 cm and 144 cm

(ii) 70 cm and 36 cm