Uniform Strip Of Carpet Around Rug Equation

Cynthia besch wants to buy a rug for a room that is 21 ft wide and 27 ft long.

Uniform strip of carpet around rug equation.

She wants to leave a uniform strip of floor around the rug. The room is 8 feet longer than it is wide. The the rug is by the width of the strip of floor is. Use a figure or picture if necessary to understand this.

W 12 2x. We are told that cynthia can only afford 420 square feet of carpeting. How wide a strip must be cut around it when mowing the grass to have cut half of it. This would leave exactly one half of the room bare.

The dimensions of the rug considering the uniform strip around would be. That are the dimensions of the room. You can put this solution on your website. Let x be the width of the uniform strip floor around the rug.

12 a lawn is 60 ft by 80 ft. 11 a mirror 14 inches by 15 inches has a frame of uniform width. She can afford to buy 300 square feet of log on. Algebra quadratic equations and parabolas solution.

If the area of the frame equals that of the mirror what is the width of the frame. 13 a grass plot 9 yards long and 6 yards wide has a path of uniform width around it. If the strip of floor around the rug is uniform then the rug is also 8 feet longer than it is wide. You can put this solution on your website.

The rug should be 24 by 16 which has an area. Answer by greenestamps 7073 show source. L 15 2x. So only 54 sq meters are to be covered.

The area 4 x 6 x covers 2 times that 48 sq meters. One dimension of the rug is 12 2w. Let the width of the unrugged strip around the rug be w. Starting from the room removing the area of the empty strip should leave the area.

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. 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. Cynthia besch wants to buy a rug for a room that is 18 ft wide and 31 ft long. I have attached a figure that represents the situation.

The rug should be 15 ft wide and 28 ft long. And the other dimension of the rug is 15 2w. 9 6 is neat and clean but the decorator wants the rug to be centralized in the room with even space around it. Therefore it must be that this says the area of the rug must be 420 square feet.

She can afford to buy 187 square feet of carpeting. Then the width of the rug is 21 2x and the length of the rug is 29 2x. Answer by richwmiller 17219 show source.