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.

The run covers 24 sq meters. Algebra quadratic equations and parabolas solution. Let the width of the unrugged strip around the rug be w. If the strip of floor around the rug is uniform then the rug is also 8 feet longer than it is wide.

I have attached a figure that represents the situation. Starting from the room removing the area of the empty strip should leave the area. We are told that cynthia can only afford 420 square feet of carpeting. The room is 8 feet longer than it is wide.

You can put this solution on your website. She can afford to buy 187 square feet of carpeting. And the other dimension of the rug is 15 2w. Therefore it must be that this says the area of the rug must be 420 square feet.

So only 54 sq meters are to be covered. The rug should be 24 by 16 which has an area. Then the width of the rug is 21 2x and the length of the rug is 29 2x. W 12 2x.

The area 4 x 6 x covers 2 times that 48 sq meters. Answer by richwmiller 17219 show source. Let x be the width of the uniform strip floor around the rug. 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.

If the area of the frame equals that of the mirror what is the width of the frame. We now have a quadratic equation and we will first try to solve it by factoring. L 15 2x. X 2 10x 24 48.

This would leave exactly one half of the room bare. 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. Cynthia besch wants to buy a rug for a room that is 21 ft wide and 27 ft long.

Answer by greenestamps 7073 show source. 11 a mirror 14 inches by 15 inches has a frame of uniform width. Cynthia besch wants to buy a rug for a room that is 18 ft wide and 31 ft long. Use a figure or picture if necessary to understand this.

That are the dimensions of the room. 9 6 is neat and clean but the decorator wants the rug to be centralized in the room with even space around it. The dimensions of the rug considering the uniform strip around would be. The the rug is by the width of the strip of floor is.

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. The rug should be 15 ft wide and 28 ft long. You can put this solution on your website.