Uniform Strip Of Carpet Around Rug Equation

Answer by greenestamps 7073 show source.

Uniform strip of carpet around rug equation.

Let x be the width of the uniform strip floor around the rug. You can put this solution on your website. X 2 10x 24 48. I have attached a figure that represents the situation.

The rug should be 15 ft wide and 28 ft long. The room is 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. If the area of the frame equals that of the mirror what is the width of the frame.

The dimensions of the rug considering the uniform strip around would be. Algebra quadratic equations and parabolas solution. The run covers 24 sq meters. That are the dimensions of the room.

Let the width of the unrugged strip around the rug be w. The the rug is by the width of the strip of floor is. Use a figure or picture if necessary to understand this. So only 54 sq meters are to be covered.

The area 4 x 6 x covers 2 times that 48 sq meters. 12 a lawn is 60 ft by 80 ft. Starting from the room removing the area of the empty strip should leave the area. W 12 2x.

Cynthia besch wants to buy a rug for a room that is 21 ft wide and 27 ft long. We are told that cynthia can only afford 420 square feet of carpeting. You can put this solution on your website. How wide a strip must be cut around it when mowing the grass to have cut half of it.

Answer by richwmiller 17219 show source. 11 a mirror 14 inches by 15 inches has a frame of uniform width. She can afford to buy 187 square feet of carpeting. This would leave exactly one half of the room bare.

She can afford to buy 300 square feet of log on. 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. Then the width of the rug is 21 2x and the length of the rug is 29 2x. One dimension of the rug is 12 2w.

She wants to leave a uniform strip of floor around the rug. Therefore it must be that this says the area of the rug must be 420 square feet. The rug should be 24 by 16 which has an area. We now have a quadratic equation and we will first try to solve it by factoring.

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. And the other dimension of the rug is 15 2w. L 15 2x.