R s aggarwal solutions mathematics class 10 Solutions for Chapter 11 perimeter and area of plane figures

Find the area of the triangle whose base measures 24 cm and the corresponding height measures 14.5 cm.

Find the area of the triangle whose sides are 42 cm, 34 cm and 20 cm in length. Find the height corresponding to the longest side.

The perimeter of a right triangle is 40 cm and its hypotenuse measures 17 cm. Find the area of the triangle.

The lengths of the two sides of a right triangle containing the right angle differ by 2 cm. If the area of the triangle is 24 cm^2, find the perimeter of the triangle.

Each side of an equilateral triangle is 10 cm. Find

(i) the area of the triangle and (ii) the height of the triangle.

The height of an equilateral triangle is 6 cm. Find its area. (Take √3 = 1 .73)

The base of a right-angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle.

The hypotenuse of a right-angled triangle is 65 cm and its base is 60 cm. Find the length of perpendicular and the area of the triangle.

Find the area of a right-angled triangle, the radius of whose circumcircle measure 8 cm and the altitude drawn to the hypotenuse measures 6 cm.

Find the length of the hypotenuse of an isosceles right-angled triangle whose area is 200 cm^2. Also, find its perimeter. (Given: √2 = 1.41)

The base of an isosceles triangle measures 80 cm and its area is 360 cm2. Find the perimeter of the triangle.

Each of the equal sides of an isosceles triangle measures 2 cm more than its height, and the base of the triangle measures 12 cm. Find the area of the triangle.

Find the area and perimeter of an isosceles right triangle, each of whose equal sides measures 10 cm. (Given: √2 = 1 .41)

In the given figure, ∆ABC is an equilateral triangle the length of whose side is equal to 10 cm and ∆DBC is right-angled at D and BD = 8 cm. Find the area of the shaded region. (Take √3 = 1.732)

The perimeter of a rectangular plot of land is 80 m and its breadth is 16 m. Find the length and area of the plot.

The area of a rectangular plot is 462 m^2 and its length is 28 m. Find the perimeter of the plot.

A lawn is in the form of a rectangle whose sides are in the ratio 5 : 3. The area of the lawn is 3375 m^2. Find the cost of fencing the lawn at ₹65 per metre.

A 36 m-long, 15m-broad verandah is to be paved with stones, each measuring 6 dm by 5 dm. How many stones will be required?

The area of a rectangle is 192 cm^2 and its perimeter is 56 cm. Find the dimensions of the rectangle.

A rectangular park 35 m long 18 m wide is to be covered with grass, leaving 2.5 m uncovered all around it. Find the area to be laid with grass.

A rectangular plot measures 125m by 78m. It has gravel path 3m wide all around on the outside. Find the area of the path and the cost of gravelling it at ₹ 75 per m^2.

(i) A footpath of uniform width runs all around the inside of a rectangular field 54 m long and 35m wide. If the area of the path is 420 m^2, find the width of the path.

(ii) A carpet is laid on the floor of a room 8m by 5m. There is a border of constant width all around the carpet. If the area of the border is 12 m^2, find its width.

The length and the breadth of a rectangular garden are in the ratio 9 : 5. A path 3.5 m wide, running all around inside it has an area of 1911 m^2. Find the dimensions of the garden.

A room 4.9 m long and 35 m broad is covered with carpet, leaving an uncovered margin of 25 cm all around the room. If the breadth of the carpet is 80 cm, find its cost at ₹ 80 per meter.

A carpet is laid on the floor of a room 8 m by 5 m. There is a border of constant width all around the carpet. If the area of the border is 12 m^2, find its width.

The cost of painting the four walls of a room 12 m long at ₹ 30 per m^2 is ₹ 7560 and the cost of covering the floor with mat at ₹25 per m^2 is ₹ 2700. Find the dimensions of the room.

Find the area and perimeter of a square plot of land whose diagonal is 24 m long. (Take √2 = 1. 41)

Find the length of the diagonal of a square of area 128 cm^2. Also, find its perimeter.