Squares And Rectangles

Area and Perimeter of Square

Square is a quadrilateral, with four equal sides.

Area = Side × Side

Perimeter = 4 × Side

Example

Find the area and perimeter of a square-shaped cardboard whose length is 5 cm.

Solution

Area of square = (side)2

= (5)2

= 25 cm2

Perimeter of square = 4 × side

= 4 × 5

= 20 cm

Area and Perimeter of Rectangle

The rectangle is a quadrilateral, with equal opposite sides.

Area = Length × Breadth

Perimeter = 2(Length + Breadth)

Example

What is the length of a rectangular field if its width is 20 ft and Area is 500 ft2?

Solution

Area of rectangular field = length × width

500 = l × 20

l = 500/20

l = 25 ft

Example

What will be the area of each triangle if we draw two diagonals of a square with side 7 cm?

Solution

Area of square = 7 × 7

= 49 cm2

The area of each triangle = 1/4 (Area of the square)

= 1/4 × 49

= 12.25 cm2

Congruent Parts of Rectangles

Two parts of a rectangle are congruent to each other if the area of the first part is equal to the area of the second part.

Example

The area of each congruent part = 1/2 (Area of the rectangle)

= 1/2 (l × b) cm2

=1/2 (4 × 3) cm2

= 1/2 (12) cm2

= 6 cm2

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