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Area of Square And Rectangle

Seema also cuts some rectangular pieces from a square grid paper of 1 cm by 1 cm. Let us see her
data along with the measures of a few more rectangles.

3 cm
6 cm

3 cm 5 cm

Number of squares enclosed = 18 Number of squares enclosed = 15
So, area of rectangle = 18 sq. cm So, area of rectangle = 15 sq. cm

Also, 6 cm × 3 cm = 18 sq. cm Also, 3 cm × 5 cm = 15 sq. cm
(length × breadth) (length × breadth)

From the above data, we found that
Area of a rectangle = length × breadth

Further, she cuts some square pieces and tries to find the area of the squares as given below.
4 cm
3 cm

Number of unit squares enclosed = 16 Number of unit squares enclosed = 9
So, area of the square = 16 sq. cm So, area of the square = 9 sq. cm

Also, 4 cm × 4 cm = 16 sq. cm Also, 3 cm × 3 cm = 9 sq. cm
From the above data, we found that

Area of a square = side × side = (side) 2
Example 7: The area of 50 m long rectangular park is 200 sq. m. Find the width of the park.

Solution: Area of the rectangular park = 200 sq. m and its
length = 50 m. Quick Check

We know that, area of a rectangle = length × breadth (or 1. If length = 15 cm and breadth
width) = 8 cm, then find the area of
the rectangle.
⇒ 200 sq. m = 50 m × Width
2. What is the area of a square
⇒ Width = 200 ÷ 50 = 4 m whose each side is 12 cm?

185 Perimeter and Area
185
and Ar
ea
P
erimeter