Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford 390 square feet of carpeting. What dimensions should the rug have?

width =  15 ft

length = 26 ft

Step-by-step explanation:

(19 - 2x)(30 - 2x) = 390

570 - 38x - 60x + 4x² = 390

combine like terms:

4x² - 98x + 570 = 390

subtract 390 from each side of the equation:

4x² - 98x + 180 = 0

divide by 4:

x² - 24.5 + 45 = 0

(x - 22.5)(x - 2) = 0

x = 22.5 and x = 2

since x = 22.5 is out of the usable range, x = 2 is the solution

width = 19 - 4 = 15 ft  (remember that there will be a 2 ft gap at each wall)

length = 30 - 4 = 26 ft (remember that there will be a 2 ft gap at each wall)

width=15ft

lenght=26 ft

Step-by-step explanation:

(19-2x)(30-2x)=390.

570-38x-60+4x to the second power=390

combine likes terms:

4x to the second power-98+570=390

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

what are ur choices?