Question

area of rectangle= 96 cm2. If it's length and breadth is increased by 1 the area increases by 21 cm2. Find its dimensions​

Answer 1

Answer:

hello eveyone

Step-by-step explanation:

Area of a rectangle is discussed here. We know, that a rectangle has length and breadth.

Let us look at the rectangle given below.

Each rectangle is made of squares. The side of each square is 1 cm long. The area of each square is 1 square centimeter.

Let us find the area of a rectangle having length 5 cm and breadth 4 cm.

From the above figure, it is clear that we can divide this rectangle into 20 squares of sides 1 cm each. SO, the area = 20 cm2

Thus the area of the rectangle = 5 cm × 4 cm

= 20 cm2

So when we multiply its length and breadth we get the area of the rectangle.

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

Length of the rectangle = Area of the RectangleBreadth of the Rectangle

Breadth of the rectangle = Area of the RectangleLength of the Rectangle