Uniform Strip Of Carpet Around Rug Equation

She can afford to buy 300 square feet of log on.

Uniform strip of carpet around rug equation.

She wants to leave a uniform strip of floor around the rug. X 2 10x 24 48. Cynthia besch wants to buy a rug for a room that is 21 ft wide and 27 ft long. The rug should be 15 ft wide and 28 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. 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. L 15 2x.

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. I have attached a figure that represents the situation. The rug should be 24 by 16 which has an area.

This would leave exactly one half of the room bare. Algebra quadratic equations and parabolas solution. The the rug is by the width of the strip of floor is. The run covers 24 sq meters.

W 12 2x. 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. Cynthia besch wants to buy a rug for a room that is 18 ft wide and 31 ft long.

9 6 is neat and clean but the decorator wants the rug to be centralized in the room with even space around it. Let the width of the unrugged strip around the rug be w. Use a figure or picture if necessary to understand this. Starting from the room removing the area of the empty strip should leave the area.

Let x be the width of the uniform strip floor around the rug. One dimension of the rug is 12 2w. And the other dimension of the rug is 15 2w. You can put this solution on your website.

Then the width of the rug is 21 2x and the length of the rug is 29 2x. Answer by richwmiller 17219 show source. 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.

The area 4 x 6 x covers 2 times that 48 sq meters. Answer by greenestamps 7073 show source. The dimensions of the rug considering the uniform strip around would be. 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.

The room is 8 feet longer than it is wide. You can put this solution on your website. That are the dimensions of the room.