The area of a lawn is 500 square feet the length is 5 feet longer then the width what are the length and width of the lawn

width: 20, length: 25

Step-by-step explanation:

area = length x width

since length is 5 feet longer than the width, length = width + 5

so we can replace length with width + 5

500 = (width + 5) x width

500 = w^2 + 5w

0 = w^2 + 5w - 500

w = 20, w = -25

width cannot bc -25 since you cannot have negative width

since width is 20, length is 25 since length = width + 5

width = 20, length = 25

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

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13