Question

If the length of rectangle is (x+2) and breadth is ( x+1) find the area of rectangle? ​

Answer 1

Step-by-step explanation:

hope this helps you better

Answer 2

Answer:

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

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

Consider the following rectangle PQRS of length PQ = 3 cm and breadth = QR = 5 cm.

Rectangle Area

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Here the area of each smaller square is 1 sq.cm. There are 15 squares in PQRS. So, its area is sq. cm. In the given rectangle, there are 5 squares along the length PS and 3 squares along the breadth PQ. When we multiply 5 and 3, length and breadth of the rectangle PQRS, we get 15 which is the area of the rectangle PQRS.

Hence, area of a rectangle = length × breadth

A = l × b

Where A is the area and l and b are length and breadth of a rectangle.

Consider the following figures:

(i)

Area of a Rectangle

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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

(ii)

Area of a Rectangle

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Area of each small square = 1 sq cm

Area of rectangle in figure 2 by counting the squares = 10 sq. cm

Area = 10 square cm

Length of rectangle = 5 cm

Breadth of rectangle = 2 cm

Area = 5 × 2 = 10 sq. cm

Hence, area of rectangle = length × breadth

A = l × b where, A is the area, l and b are length and breadth of a rectangle.

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

Area of Rectangle

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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.

Solved examples to find the area of a rectangle when length and breadth are given:

1. Ron’s kitchen is 5 meter long and 3 meter broad. Find the area of the floor of the kitchen.

Solution:

Area = length × breadth

= 5 × 3

= 15 sq. m

2. Find the area of a rectangular park whose length and breadth are 25 m and 15 m respectively.

Solution:

Length of a rectangular park = 25 m

Breadth of a rectangular park = 15 m

Area of the park = length × breadth

= 25 m × 15 m

= 375 sq. m