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1 vote
Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor

is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar

Jon wants to buy carpet to cover his whole living room, except for the tiled floor-example-1
User Mwjackson
by
6.4k points

2 Answers

2 votes

Based on the calculations, the area of the carpet is equal to 40 1/8 square feet.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LW

Where:

  • A represent the area of a rectangle.
  • W represent the width of a rectangle.
  • L represent the length of a rectangle.

By substituting the given side lengths into the formula for the area of a rectangle, we have the following;

Area of living room = 12 1/4 × 5

Area of living room = 61.25 square feet.

Area of tiled floor = 3 1/4 × 6 1/2

Area of tiled floor = 21.125 square feet.

Now, we can determine the area of the carpet;

Area of the carpet = Area of living room - Area of tiled floor

Area of the carpet = 61.25 - 21.125

Area of the carpet = 40.125 or 40 1/8 square feet.

User Elena Filatova
by
7.6k points
5 votes

Answer:

321/8 ft^2

Explanation:

The whole area is 49/4 × 5 = 245/4 ft^2

The area of tiled floor is 13/2 × 13/4 = 169/8

245/4 - 169/8 we need to equalise the bottom of fraction to subtract so

2/2 × 245/4 = 490/8

490/8 - 169/8 = 321/8 ft^2

User Scott Mielcarski
by
7.0k points
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