Question

A square floor of. Side 35 m long is carpeted with a carpet of length 25 m and Breadth 30 m find the area of the floor that is not carpeted

Answer 1

Answer:

475m²

Step-by-step explanation:

area not carpeted= area of square - area of carpeted space(rectangle)

= 35² - 25*30

= 1225 - 750

= 475m²

Answer 2

Given :

• Side of a square floor = 35 m
• Length of the carpet = 25 m
• Breadth of the carpet = 30 m

To find :

• Area of the floor that is not carpeted

Concept :

Firstly, calculate the area of the square floor by using the formula of area of square. Then we will calculate the area of the carpet. To find the area of the carpet we will use the formula of area of rectangle. After getting the value of both the areas subtract the area of the carpet from the area of the square floor. The resultant value will be the area of the floor that is not carpeted.

➳ Formula to calculate area of sqaure :-

• Area of square = side²

➳ Formula to calculate area of rectangle :-

• Area of rectangle = l × b

where,

• l stands for length of the rectangle
• b stands for breadth of the rectangle

Solution :

Area of the square floor :-

→ Area = side²

Substituting the given values,

→ Area = (35)²

→ Area = 1,225

★ Area of the square floor = 1,225 m²

Area of the carpet :-

→ Area = l × b

Substituting the given values,

→ Area = 25 × 30

→ Area = 750

★ Area of the carpet = 750 m²

Area of the floor that is not carpeted = Area of the square floor - Area of carpet

→ Area of the floor that is not carpeted = 1,225 - 750

→ Area of the floor that is not carpeted = 475

Therefore,

• The Area of the floor that is not carpeted = 475 m²

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KNOW MORE :

• Perimeter of square = 4 × side
• Diagonal of square = √2 × side
• Perimeter of reactangle = 2(length + breadth)
• Diagonal of rectangle = √(length)² + √(breadth)²