Uniform Strip Of Carpet Around Rug Equation

The area 4 x 6 x covers 2 times that 48 sq meters.

Uniform strip of carpet around rug equation.

Let x be the width of the uniform strip floor around the rug. The run covers 24 sq meters. This would leave exactly one half of the room bare. Cynthia besch wants to buy a rug for a room that is 21 ft wide and 27 ft long.

One dimension of the rug is 12 2w. Algebra quadratic equations and parabolas solution. She wants to leave a uniform strip of floor around the rug. X 2 10x 24 48.

The room is 8 feet longer than it is wide. Answer by greenestamps 7073 show source. The dimensions of the rug considering the uniform strip around would be. Let the width of the unrugged strip around the rug be w.

Cynthia besch wants to buy a rug for a room that is 18 ft wide and 31 ft long. A 4 meter by 6 meter rug covers half the floor area of a room and leaves a uniform strip of base floor around the edges. L 15 2x. That are the dimensions of the room.

We now have a quadratic equation and we will first try to solve it by factoring. You can put this solution on your website. Starting from the room removing the area of the empty strip should leave the area. She can afford to buy 187 square feet of carpeting.

How wide a strip must be cut around it when mowing the grass to have cut half of it. Then the width of the rug is 21 2x and the length of the rug is 29 2x. Therefore it must be that this says the area of the rug must be 420 square feet. Use a figure or picture if necessary to understand this.

12 a lawn is 60 ft by 80 ft. And the other dimension of the rug is 15 2w. The rug should be 24 by 16 which has an area. 9 6 is neat and clean but the decorator wants the rug to be centralized in the room with even space around it.

If you draw the room and make x the width of the strip of floor around the carpet the area of the carpet becomes 15 2x 12 2x which you then set equal. If the strip of floor around the rug is uniform then the rug is also 8 feet longer than it is wide. 13 a grass plot 9 yards long and 6 yards wide has a path of uniform width around it. We are told that cynthia can only afford 420 square feet of carpeting.

So only 54 sq meters are to be covered. W 12 2x. 11 a mirror 14 inches by 15 inches has a frame of uniform width. If the area of the frame equals that of the mirror what is the width of the frame.

I have attached a figure that represents the situation. The the rug is by the width of the strip of floor is. The rug should be 15 ft wide and 28 ft long.