Problems Related to Area of Plane Figures

Q.

The area of a triangle is 84 square cm. If the base of this triangle is 14 cm, find the height of the triangle

1. 16 cm

2. 12 cm

3. 6 cm

4. 14 cm

Q.

Find the missing values:

Q.

Find the area of each of the following triangles:

Q.

The area of a trapezium shaped field is 600 m² .The distance between two parallel sides is 15 m and one of the parallel sides is 20 m. Find the other parallel side.

1. 30 m
2. 120 m
3. 60 m
4. 80 m

Q.

The area of a triangle is 50 cm². If its base is 25 cm, then the corresponding height is

1. 6 cm

2. 3 cm

3. 5 cm

4. 4 cm

Q.

A quadrilateral has an area of 453.6 $c{m}^2$. The length of a diagonal is 42 cm and the perpendicular distance from one vertex is 10 cm. Find the perpendicular distance from the other vertex (in cm).

1. 22.5
2. 11.6
3. 15
4. 12.6

Q.

Find the area of the given triangle ABC. Given that base BC = 5 cm and the corresponding altitude, AP = 4 cm.

1. 20 cm²

2. 10 cm²

3. 30 cm²

4. 40 cm²

Q.

In a parallelogram ABCD, the diagonal AC measures 34 m and the perpendicular distance of AC from either of the vertices B and D is 12 m. Find the area of the parallelogram.

1. 408 sq. m

2. 512 sq. m

3. 306 sq. m

4. 204 sq. m

Q. Find the area of a figure formed by a square of side 8 cm and an isosceles triangle with base as one side of the square and perimeter as 18 cm.

Q. The base of an isosceles triangle is 12 cm and its perimeter is 32 cm. Find its area.

Q. Find the area of equilateral triangle having each side 4 cm

Q.

Area of the given figure is:

1. 41 sq. units
2. 42 sq. units
3. 24 sq. units
4. 40 sq. units

Q.

If there is a rectangle with length 'l units' and breadth 'b units', then the area of the rectangle is ______ sq. units.

1. $l\times b$
2. $(l+b{)}^2$
3. $(l\times b{)}^2$
4. $l^2$

Q. The area of a triangle is 50 cm². If the altitude is 8 cm, what is its base?

Q. The area of an equilateral triangle is $4\sqrt{3}$ cm². The length of each of its sides is

(a) 3 cm
(b) 4 cm
(c) $2\sqrt{3}$
(d) $\frac{1}{2}\sqrt{3}$ cm

Q.

Find the area of the figure below which is made of two equal trapeziums. Two parallel sides of a trapezium are of lengths 57 cm and 39 cm. The distance between the parallel sides AB and FC is 28 cm.

1. $1144c{m}^2$

2. $2688c{m}^2$

3. $1244c{m}^2$

4. $2644c{m}^2$

Q.

A quadrilateral has an area of $453.6m^2$. The length of a diagonal is 42 m and the perpendicular distance from one vertex to the diagonal is 10 m. What is the perpendicular distance from the other vertex to the diagonal ?

1. 23.2 m

2. 11.6 m

3. 11 m

4. 22 m

Q. The base of an isosceles triangle is 12 cm and its perimeter is 32 cm. Find its area.

Q. Each side of an equilateral triangle is 8 cm long. Its area is

(a) 32 cm²
(b) 64 cm²
(c) cm²
(d) cm²

Q. Find the area of a triangle with base 5cm and whose height is equal to that of a rectangle with base 5cm and area 20 cm2. ​

Q. Each side of an equilateral triangle is 8 cm long. Its area is

(a) 32 cm²
(b) 64 cm²
(c) $16\sqrt{3}$ cm²
(d) $16\sqrt{2}$ cm²

Q.

Find the area of figure given below (in sq. inches).

1. 48

2. 64

3. 84

4. 36

Q.

Area of the following triangle is

1. 30 cm²

2. 26 cm²

3. 20 cm²

4. 24 cm²

Q.

The sides of a triangle are $42cm$, $34cm$, and $20cm.$ Calculate its area and the length of the height on the longest side.

Q.

Find the area of an equilateral triangle each of whose sides measures (i) $18cm$, (ii) $20cm$.
[Take $\sqrt{3}=1.73$]

Q.

The area of a trapezium shaped field is 600 m², the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the length of the other parallel side.

1. 40m

2. 50m

3. 60m

4. 70m

Q. Find the area of the triangle in which

(i) base = 42 cm and height = 25 cm,
(ii) base = 16.8 m and height = 75 cm,
(iii) base = 8 dm and height = 35 cm,

Q.

Find the area of figure given below (in sq. inches).

1. 48

2. 64

3. 84

4. 96

Q.

Find the height of a triangle having an area of $72c{m}^2$ and base $16cm$.

Q. Find the area in square centimetres of a triangle whose base and altitude are as under:
(i) base = 18 cm, altitude = 3.5 cm
(ii) base = 8 dm, altitude = 15 cm