To find the missing length, we need to add up the lengths of all three sides of the triangular park and then subtract that sum from the given perimeter (20x-13).
Let's say the three sides of the park are represented by x, y, and z. So, the perimeter of the park is x + y + z.
Given that the perimeter is 20x-13, we can set up the equation x + y + z = 20x - 13.
Since we don't know the value of the missing length (let's say it's y), we can rewrite the equation as x + y + z = 20x - 13 - y.
Now, let's simplify the equation. Since the perimeter is the sum of all three sides, we can write x + y + z as x + y + 7x.
This makes the equation x + y + 7x = 20x - 13 - y.
Combining like terms, we get 8x = 20x - 13 - y.
Further simplifying, we get 8x = 20x - 13 - y.
To find the missing length, we can isolate y by subtracting 20x from both sides to get -12x = -13 - y.
Finally, we can solve for y by multiplying both sides by -1 to get y = 12x + 13.
So, the missing length is 12x + 13.
A triangular park is shown below.
If the perimeter of the park is 20x-13
, what is the missing length?
Responses
7 x minus 20
13 x plus 7
1 answer
1 answer