In this page perimeter of square we are going to see some example problems to understand this topic. A shape which is having four equal sides is called a square.Now let us see the formula to find perimeter of square.
Formula:
Perimeter of a square = a + a + a + a
= 4a
Example 1:
Find the perimeter of the square having side length 24 cm
Solution:
Perimeter of a square = 4a
here a = 24 cm
= 4 ( 24 )
= 96 cm
Hence, perimeter of the square is 96 cm
Example 2:
Find the perimeter of the square having side length 15 cm
Solution:
Perimeter of a square = 4a
here a = 15 cm
= 4 ( 15 )
= 60 cm
Therefore perimeter of the square is 60 cm
Example 3:
A square is of area 64 cm². What is its perimeter?
Solution:
Area of a square = 64 cm²
a² = 64 cm²
a = √ 64
a = √8 x 8
a = 8 cm
Now we have to find the perimeter
Perimeter of the square = 4a
= 4 (8)
= 32 cm
Therefore perimeter of the square is 32 cm
Example 4:
Perimeter of a square is 20 cm. What is its area?
Solution:
Perimeter of a square = 20 cm
4a = 20 ==> a = 5 cm
Area of a square = a² = 5² ==> 25 cm²
Therefore area of the square is 25 cm²
Example 5:
Find the perimeter of the square whose diagonal is measuring 4cm.
Solution:
In the above square we have two right triangles. Those are ⊿ ACB and ⊿ ADC. In ⊿ ACB right angled at B. The side which is opposite to this angle is called hypotenuse side. We can find the other sides using Pythagorean theorem.
AC² = AB² + BC²
Since all sides are equal in square the sides AB and BC are equal in length.
Let AB = x so BC = x
AC² = x² + x² ==> 4² = 2x² ==> x² = 16/2 ==> x² = 8
x = √8
x = √2 x 2 x 2
x = 2 √2 cm
Hence, length of all sides = 2 √2 cm
Perimeter of square = 4a
= 4 (2 √2)
= 8 √2 cm
Example 6:
The perimeter of two squares are 40 cm and 32 cm. Find the perimeter of third square whose area is equal to the difference of the area of two squares.
Solution:
Let "a" and "b" are side length of first and second squares respectively.
Perimeter of first square = 40 cm
4 a = 40 ==> a = 10
Perimeter of second square = 32 cm
4 b = 32 ==> b = 8
Area of third square = 10 ² - 8² ==> 36 cm²
Side length of third square = √36 ==> 6 cm
Perimeter of third square = 4 (6) = 24 cm
Square Parallelogram |
Rectangle Rhombus |
Traingle Quadrilateral Sector
Hollow cylinder Sphere Area around circle Area of combined figures |
Trapezium Circle Semicircle Quadrant Cyclinder Cone Hemisphere Path ways |
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits