the following are rectangles of equal breadth on a graph paper find the area of rectangle and fill the table
Answers
Each rectangle is made of squares. The side of each square is 1 cm long. The area of each square is 1 square centimeter.
The rectangle ABCD has 8 such squares. Therefore, its area is 8 sq cm. Similarly we can find the areas of the other rectangles by counting the number of squares. We also note the length and breadth of each rectangle and write in the table below:
Rectangle
ABCD
LMNO
PQRS
Area
8 sq. cm
12 sq. cm
6 sq. cm
Length
4 cm
4 cm
2 cm
Breadth
2 cm
3 cm
3 cm
Length × Breadth
4 cm × 2 cm = 8 cm2
4 cm × 3 cm = 12 cm2
2 cm × 3 cm = 6 cm2
In each case we observe the length × breadth = Area of the rectangle.
Therefore, area of rectangle = length × breadth = l × b sq. units
From the above multiplication, we get the following facts:
Area of each small square = 1 sq cm
Area of rectangle in figure 1 by counting the squares = 6 sq. cm
Area = 6 square cm
Length of rectangle = 3 cm
Breadth of rectangle = 2 cm
Area = 3 × 2 = 6 sq. cm