The area of a parallelogram is 115 square miles the base is= x+9 and the height is x-9. so the equation I got down which is 115=(x+9)*(x-9. Now I have to find the base and height in miles. Can someone help?
just solve your equation:
x^2-81 = 115
x^2 = 196
x = 14
so, the
base is 14+9 = 23
height is 14-9 = 5
To find the base and height of the parallelogram in miles, we need to solve the equation 115 = (x + 9)(x - 9).
First, let's simplify the equation:
115 = (x^2 - 81).
Move the constant term to the other side of the equation:
x^2 = 196.
Take the square root of both sides of the equation:
x = ± 14.
Since we are dealing with lengths, we can ignore the negative value since lengths cannot be negative.
Therefore, the value of x is 14.
Now, substitute the value of x into the expressions for the base and height:
Base = x + 9 = 14 + 9 = 23 miles
Height = x - 9 = 14 - 9 = 5 miles
Therefore, the base of the parallelogram is 23 miles and the height is 5 miles.