Arectangular room has an area of 131 1/4 square feet. the length of the room is 12 1/2 feet. what is the width, in feet, if the room

As the room is a rectangle, to find the area you simply multiply the length and width together.

L x W = A

As in the question stated you have the area and length:

12.5 x W = 131

To find the width you can simply divide the area by the length:

131 ÷ 12.5 = 10.48 ≅ 10.5 = 10

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15