Answer:
39 ft
Step-by-step explanation:
40 feet would have been if the perimeter was 160ft. so since it has to be less than 160 the maximum (whole number) length of a side would be 39.
To solve this equation, lets move all of the variables to one side of the equation and the constants to the other.
0.12x - 1.5 = 0.24x - 0.06
Subtract 0.12x from both sides of the equation
-1.5 = 0.12x - 0.06
Add 0.06 to both sides of the equation
-1.44 = 0.12x
Divide both sides by 0.12 to isolate x
x = -12
EQUATION OF A CIRCLE: (x-h)² + (y-k)² =r²
= (x+1)² + (y-4)² =3
This seems like a right triangle problem.
So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem (
) to solve for the height of the house, in which we shall name it x.
So, the equation is
.
Solve for x:
16+x^{2}= 196
x^{2}= 196-16
x^{2}= 180
x = 6√5 feet
Hope this helps!