Maths-

General

Easy

Question

# During Van Mahotsav, some children planted trees in a triangular region, two sides of which are 18 m and 10 m and the perimeter is 42 m. Find the area of the planted region.

Hint:

### Use Heron’s formula

## The correct answer is: 21√11 m2

### Let a = 18 m , b = 10 m and third side = c

It is given that Perimeter of triangle = 42 m

a + b + c = 42

18 + 10 + c = 42

c = 42 – 28 = 14 m

Using Heron’s formula,

Area of triangle = where s =

s = = 21

Area of triangle =

=

### Related Questions to study

Maths-

### If the area of a parallelogram is 300m^{2} and the base of the parallelogram is thrice its height, find the base and height of a parallelogram.

### If the area of a parallelogram is 300m^{2} and the base of the parallelogram is thrice its height, find the base and height of a parallelogram.

Maths-General

Maths-

### Identify the equation of a line parallel to the line y = x – 1

### Identify the equation of a line parallel to the line y = x – 1

Maths-General

Maths-

### Find the area of an isosceles triangle whose one side is 10 cm greater than each of its equal sides and perimeter is 100 cm.

### Find the area of an isosceles triangle whose one side is 10 cm greater than each of its equal sides and perimeter is 100 cm.

Maths-General

Maths-

### What is the area of a parallelogram with coordinated ,

### What is the area of a parallelogram with coordinated ,

Maths-General

Maths-

### Identify the equation of a line perpendicular to the line x/2 + y = -1

### Identify the equation of a line perpendicular to the line x/2 + y = -1

Maths-General

Maths-

### If the area of an equilateral triangle is 16 cm^{2} find the length of the side of the triangle.

### If the area of an equilateral triangle is 16 cm^{2} find the length of the side of the triangle.

Maths-General

Maths-

### Find the equation of a line which passes through (1, 2) and is perpendicular to the line with an equation y = x – 1.

### Find the equation of a line which passes through (1, 2) and is perpendicular to the line with an equation y = x – 1.

Maths-General

Maths-

### A Cylinder tank has a diameter 75 cm and height 1.8 m, Find the capacity in litres to three significant figures.

### A Cylinder tank has a diameter 75 cm and height 1.8 m, Find the capacity in litres to three significant figures.

Maths-General

Maths-

### Identify the line having y-intercept =

### Identify the line having y-intercept =

Maths-General

Maths-

### Find the perimeter and height of an equilateral triangle whose area is equal to 60cm^{2}

### Find the perimeter and height of an equilateral triangle whose area is equal to 60cm^{2}

Maths-General

Maths-

### A ground in a shape of a parallelogram needs to be fenced by a wire. The one side of the parallelogram is 8 inches and the area of ground is 120 sq. inches respectively.

Find the minimum length of wire needed for the work.

### A ground in a shape of a parallelogram needs to be fenced by a wire. The one side of the parallelogram is 8 inches and the area of ground is 120 sq. inches respectively.

Find the minimum length of wire needed for the work.

Maths-General

Maths-

### Identify the line having slope 2.

### Identify the line having slope 2.

Maths-General

Maths-

### Find equation of a line parallel to line with an equation y = 5x + 1 and passing through (1, 10).

### Find equation of a line parallel to line with an equation y = 5x + 1 and passing through (1, 10).

Maths-General

Maths-

### In the figure given below, find the area of:

(i) the shaded portion and (ii) the unshaded portion.

### In the figure given below, find the area of:

(i) the shaded portion and (ii) the unshaded portion.

Maths-General

Maths-

### The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1m and 1.2m and perpendicular distance between them is 0.8m .

### The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1m and 1.2m and perpendicular distance between them is 0.8m .

Maths-General