Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 5 m, the new total area of the garden will be 196 m2. Find the length of each side of the original garden.

19m
14m
9m
or

9 m

Step-by-step explanation:

Let x be the original side of the square flower garden

We increase it by 5

The new side length is (x+5)

The area of a square is found by

A = s^2 where s is the side length

A = (x+5)^2

The area is 196

196 = (x+5)^2

Take the square root of each side

sqrt(196) = sqrt((x+5)^2)

14 = x+5

Subtract 5 from each side

14-5 = x+5-5

9 =x

The original side is 9 m

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

the answer is mp

step-by-step explanation: