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Area of Square

Mensuration I - Concepts

Perimeter of Square

Perimeter of Rectangle

Circumference of Circle

Area of a Parallelogram

Area of Trapezium

Perimeter of Trapezium

Area of Rhombus

Perimeter of Rhombus

Area of Equilateral Triangle

Area of Path and Verandah

Area of Composite Figure

Class - RPF Constable Subjects

Concept Explanation

Area of Square

A square is a quadrilateral in which it has 4 equal sides and all the interior angles of a square are right angles. It is a closed two-dimensional plane figure..

Area of a Square = Side × side = $large side^2$ square units

Illustration : Find the area of a square of side length 15 m.

Solution: Area of a square = $sidetimes side$

$=15times 15$

$=225 ;m^{2}$

Illustration: A square lawn has a side that is 18m long. Find the area of the lawn.

Solution: As side of the square lawn = 18 m

hence, area of the square lawn = $sidetimes side$

$=18times 18$

$=324 ;m^{2}$

Illustration: A square park is to be watered. If one side of the park is 4.2 m, find the area to be watered?

Solution: Given: Side of the park = 4.2 m

Hence, area of square park to be watered = $sidetimes side$

$=4.2times 4.2$

$=frac{42}{10}timesfrac{42}{10}$

$=frac{1764}{100}$

$=17.64;m^{2}$

Illustration: A square tile is having the side of length 15 cm. How many such tiles would be required to cover the square floor of the bathroom of side 3 m?

Solution: Length of the square tile = 15 cm

Hence, area of the square tile = $sidetimes side$

$=15times 15$

$small =225 ;cm^{2}$

Also, the Side of square floor bathroom = 3 m

Hence, area of square floor bathroom = $sidetimes side$

$small =3times 3$

$small =9;m^{2}$

As area of square tile has units in cm but the units of area of square bathroom is in m.

Hence area of square bathroom in cm = 9 X 100 X 100

$small =90,000;cm^{2}$

Now, the number of tiles required = $small frac{area ;of; square; floor;}{Area ;of;square;tile}$

$small =frac{90000}{225}$

$small =400$

Hence 400 tiles are required to cover the floor.

Illustration: To find the side of a square when the area is 196 sq cm.

Solution: Let the side = y cm, Then Area = y X y

According to the question: Area= 196 sq cm

y X y = 196 sq cm OR $large y^2= 14^2$

y= 14 cm.

Hence the side of the square is 14 cm

Illustration: Find the area of a square of side length 1.55 m.

Solution: Area of a square = $large side^2$ = $(1.55)^{2}$ = 2.4025 $m^{2}$

Illustration: To find the side of a square when the area is 324 sq m.

Solution: Let the side = y m, Then Area = y X y

According to the question: Area= 324 sq m

y X y = 324 sq m OR $large y^2= 18^2$

y= 18 m.

Hence the side of the square is 18 m

Sample Questions

(More Questions for each concept available in Login)

Question : 1

A square whose diagonal is 10 cm long has area equal to ___________________.
A. 28 $cm^2$	B. 34 $cm^2$	C. 50 $cm^{2}$	D. None of these
Right Option : C
View Explanation

Question : 2

ABCD is a square. If AB=3cm, which of the following represents its area?
A. $18cm^2$	B. $9cm^2$	C. $6cm^2$	D. $12cm^2$
Right Option : B
View Explanation

Question : 3

Area of a square whose side is 1.5 m
A. 6	B. 2.25	C. 22.5	D. 225
Right Option : B
View Explanation

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Language - English

Chapters

Exponents and Power II

Introduction to Trigonometry II

Introduction to Trigonometry I

Linear Equations in One Variable II

Linear Equations in One Variable I

Cube and Cube Roots

Square and Square Root II

Square and Square Root I

Rational Numbers II

Rational Numbers I

Mensuration I

Exponents and Power I

Direct and Inverse Variation II

Direct and Inverse Variation I

Algebraic Expressions

Comparing Quantities III

Comparing Quantities II

Comparing Quantities I

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Banking And Insurance

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MBA Entrance

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English Proficiency

Reasoning Proficiency

Computer Proficiency

Navodaya Entrance 6th & 9th

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Andhra Bank

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Railways

RRB Technician Grade III

RPF Constable

RPF Sub Inspector

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