Uniform Strip Of Carpet Around Rug Equation

Starting from the room removing the area of the empty strip should leave the area.

Uniform strip of carpet around rug equation.

The area 4 x 6 x covers 2 times that 48 sq meters. 9 6 is neat and clean but the decorator wants the rug to be centralized in the room with even space around it. The the rug is by the width of the strip of floor is. We are told that cynthia can only afford 420 square feet of carpeting.

We now have a quadratic equation and we will first try to solve it by factoring. The dimensions of the rug considering the uniform strip around would be. L 15 2x. 12 a lawn is 60 ft by 80 ft.

W 12 2x. The run covers 24 sq meters. I have attached a figure that represents the situation. One dimension of the rug is 12 2w.

How wide a strip must be cut around it when mowing the grass to have cut half of it. Therefore it must be that this says the area of the rug must be 420 square feet. 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.

This would leave exactly one half of the room bare. Use a figure or picture if necessary to understand this. The room is 8 feet longer than it is wide. 11 a mirror 14 inches by 15 inches has a frame of uniform width.

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. She can afford to buy 300 square feet of log on. If the strip of floor around the rug is uniform then the rug is also 8 feet longer than it is wide. Then the width of the rug is 21 2x and the length of the rug is 29 2x.

You can put this solution on your website. Answer by greenestamps 7073 show source. Let the width of the unrugged strip around the rug be w. Algebra quadratic equations and parabolas solution.

So only 54 sq meters are to be covered. That are the dimensions of the room. Cynthia besch wants to buy a rug for a room that is 18 ft wide and 31 ft long. She can afford to buy 187 square feet of carpeting.

Answer by richwmiller 17219 show source. Let x be the width of the uniform strip floor around the rug. The rug should be 15 ft wide and 28 ft long. 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. She wants to leave a uniform strip of floor around the rug. You can put this solution on your website.