Cynthia besch  wants to buy a rug for a room that is 21 feet wide and 29 feet long. she wants to leave a uniform strip floor around the rug. she can afford to buy 345 square fee of carpeting. what dimensions should the rug have

Step-by-step explanation:

Let x be the width of the uniform strip floor around the rug.

Then the width of the rug is (21 - 2x) and the length of the rug is (29 - 2x).

(21 - 2x)(29 - 2x) = 345

609 - 100x + 4x^2 = 345

4x^2 - 100x + 264 = 0

x^2 - 25x + 66 = 0

(x - 22)(x - 3) = 0

x = 3 or x = 22 (rejected as x must be less that the width of the room)

Hence the width of the rug is 21 - 2(3) = 15 feet and the length of the rug is 29 - 2(3) = 23 feet.

i dont know i just need points