The length of a rectangle is 12 feet less than the width. the permitir is 60 feet. find the length and width.

l = w - 12

2l + 2w = 60

2(w-12) + 2w = . 60

2w - 24 + 2w = 60

4w = 84

w = 21

21 - 12 = 9

Width is 21 feet, Length is 9 feet

step-by-step explanation:

0

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