Uniform Strip Of Carpet Around Rug Equation

The the rug is by the width of the strip of floor is.

Uniform strip of carpet around rug equation.

The rug should be 15 ft wide and 28 ft long. We now have a quadratic equation and we will first try to solve it by factoring. We are told that cynthia can only afford 420 square feet of carpeting. Therefore it must be that this says the area of the rug must be 420 square feet.

The run covers 24 sq meters. If the area of the frame equals that of the mirror what is the width of the frame. Use a figure or picture if necessary to understand this. The dimensions of the rug considering the uniform strip around would be.

If the strip of floor around the rug is uniform then the rug is also 8 feet longer than it is wide. Starting from the room removing the area of the empty strip should leave the area. The rug should be 24 by 16 which has an area. X 2 10x 24 48.

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. 12 a lawn is 60 ft by 80 ft. Answer by richwmiller 17219 show source.

This would leave exactly one half of the room bare. That are the dimensions of the room. Let x be the width of the uniform strip floor around the rug. She can afford to buy 187 square feet of carpeting.

Algebra quadratic equations and parabolas solution. One dimension of the rug is 12 2w. So only 54 sq meters are to be covered. 9 6 is neat and clean but the decorator wants the rug to be centralized in the room with even space around it.

And the other dimension of the rug is 15 2w. The room is 8 feet longer than it is wide. She wants to leave a uniform strip of floor around the rug. How wide a strip must be cut around it when mowing the grass to have cut half of it.

L 15 2x. 13 a grass plot 9 yards long and 6 yards wide has a path of uniform width around it. She can afford to buy 300 square feet of log on. I have attached a figure that represents the situation.

Answer by greenestamps 7073 show source. 11 a mirror 14 inches by 15 inches has a frame of uniform width. 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. Cynthia besch wants to buy a rug for a room that is 21 ft wide and 27 ft long.

Then the width of the rug is 21 2x and the length of the rug is 29 2x. W 12 2x. You can put this solution on your website.