Question

A triangle has a perimeter of 66 feet. If the three sides of the triangle are n, 3n+3, and 4n - 9, what is the length of each side?

Separate multiple entries with a comma.

Answer 1

9, 30, 27

Explanation:

To find the perimeter, you must add up each side. In this scenario, we know that the perimeter is 66 feet. We also know the sides, which are n, 3n+3 and 4n-9.

So, we must add the sides to get 66 feet.

n+3n+3+4n-9=66

Combine like terms, and solve:

(n+3n+4n)+(3+-9)=66

8n+-6=66

8n-6=66

n=9

So if n=9, we can easily find the value of the other sides.

3(9)+3=30 feet.

4(9)-9=27 feet

So, the sides are 9, 30, and 27 feet (in order).