Question

if the length and breadth of rectangle are 35cm and 25cm respectivily find which filed is greater area and by how much​

Answer 1

Answer:

Perimeter = 2 (Length + Breadth) = 100 cm

2 (35 + Breadth) = 100

35 + B = 50

B = 50 − 35 = 15 cm

Area = Length × Breadth = 35 × 15 = 525 cm2

Step-by-step explanation:

Perimeter = 2 (Length + Breadth) = 100 cm

2 (35 + Breadth) = 100

35 + B = 50

B = 50 − 35 = 15 cm

Area = Length × Breadth = 35 × 15 = 525 cm2

Answer 2

Correct Question:

The perimeter of a rectangle and a square are same. If the length and breadth of rectangle are 35 cm and 25 cm respectively. Find which figure has greater area and by how much?

Given:

✰ The perimeter of a rectangle and a square are same.

✰ Length of a rectangle = 35 cm

✰ Breadth of a rectangle = 25 cm

To find:

✠ Which figure has greater area and by how much?

Solution:

We know that the perimeter of a rectangle and a square are same.

Perimeter of a rectangle = Perimeter of a square.

So by using formula of perimeter of rectangle, we will calculate its perimeter and we know that perimeter of square and rectangle are same. Thus, by using it we will calculate length of one side of a square

Let's calculate...✧

✭ Perimeter of a rectangle = 2( l + b ) ✭

Where,

• l is the length of a rectangle.
• b is the breadth of a rectangle.

Putting the values in the formula, we have:

⤳ Perimeter of a rectangle = 2( 35 + 25 )

⤳ Perimeter of a rectangle = 2 × 60

⤳ Perimeter of a rectangle = 120 cm

Perimeter of a rectangle = Perimeter of a square

✭ Perimeter of a square = 4a ✭

Where,

• a is the length of each side of a square.

Putting the values in the formula, we have:

⤳ 4a = 120

⤳ a = 120/4

⤳ a = 30 cm

Now, find the area of both square and the rectangle by using the respective formulae. After that, we will compare to find out whose area is greater and then we will subtract area of a figure with the smaller area from the area of figure with the greater area to find out how much greater is the figure has.

✭ Area of square = a² ✭

Where,

• a is the length of each side of a square.

Putting the values in the formula, we have:

➛ Area of square = 30²

➛ Area of square = 30 × 30

➛ Area of square = 900 cm²

∴ The area of a square = 900 cm²

✭ Area of a rectangle= l × b ✭

Where,

• l is the length of a rectangle.
• b is the breadth of a rectangle.

Putting the values in the formula, we have:

➛ Area of a rectangle= 35 × 25

➛ Area of a rectangle = 875 cm²

∴ The area of a rectangle = 875 cm²

Let's compare them

⟼ 900 cm² > 875 cm²

⟼ Area of a square = Area of a rectangle

∴ The area of square is greater than the area of a rectangle.

By how much ?

➛ Area of a square - Area of a rectangle

➛ ( 900 - 875 ) cm²

➛ 25 cm²

∴ Square is having greater area by 25 cm²

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