NCERT Solutions for Class 9 Mathematics Chapter 14 Statistics

Statistics Here is the CBSE Mathematics Chapter 14 for Class 9 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 9 Mathematics Statistics Chapter 14 NCERT Solutions for Class 9 Mathematics Statistics Chapter 14 The following is a summary in Hindi and English for the academic year 2025-26. You can save these solutions to your computer or use the Class 9 Mathematics.

Question 1

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A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?

Solution

'a' = a
'b' = a
'c' = a
$WiredFaculty$
Area of the signal board
$WiredFaculty$
Perimeter = 180 cm
$rightwards double arrow$ 'a' + 'b' + 'c' = 180
$rightwards double arrow$ a + a + a = 180
$rightwards double arrow$ 3a = 180
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$rightwards double arrow space space space$ a = 60 cm
$therefore$ Area of the signal board $equals fraction numerator square root of 3 over denominator 4 end fraction straight a squared$
$equals fraction numerator square root of 3 over denominator 4 end fraction left parenthesis 60 right parenthesis squared equals 900 square root of 3 space cm squared$
Alternatively,
$space space space space space straight s space equals fraction numerator 3 straight a over denominator 2 end fraction equals 3 over 2 left parenthesis 60 right parenthesis equals 90 space cm$
Area of the signal board
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NCERT Solutions for Class 9 Mathematics Chapter 14 Statistics

A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m (see figure). The advertisements yield an earning of र5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay?

There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.

Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is 42 cm.

Sides of a triangle are in the ratio of 12 :17 : 25 and its perimeter is 540 cm. Find its area.

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

In the following figure, calculate the area of the shaded portion:

Find the area of a right angled triangle if the radius of its circumcircle is 3 cm and altitude drawn to the hypotenuse is 2 cm.

A regular hexagon has a side 8 cm. Determine its perimeter and area.

Sides of a triangle are in the ratio 13 : 14 : 15 and its perimeter is 84 cm. Find its area.

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For Daily Free Study Material Join wiredfaculty

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NCERT Solutions for Class 9 Mathematics Chapter 14 Statistics

A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m (see figure). The advertisements yield an earning of र5000 per m2 per year. A company hired one of its walls for 3 months. How much rent did it pay?

There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.

Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is 42 cm.

Sides of a triangle are in the ratio of 12 :17 : 25 and its perimeter is 540 cm. Find its area.

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

In the following figure, calculate the area of the shaded portion:

Find the area of a right angled triangle if the radius of its circumcircle is 3 cm and altitude drawn to the hypotenuse is 2 cm.

A regular hexagon has a side 8 cm. Determine its perimeter and area.

Sides of a triangle are in the ratio 13 : 14 : 15 and its perimeter is 84 cm. Find its area.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m (see figure). The advertisements yield an earning of र5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay?