Answer: 9 and 15
Explanation: For this problem we will be using the formula of the perimeter of the parallelogram and use algebraic equation to solve it.
"The perimeter of a parallelogram is 48cm"
-So we already know the perimeter of this polygon
-We don't know the other sides
-We know both sides are on a ratio of 3/5
-We know the formula for perimeter of a parallelogram is P=2(a+b)
Let's use the formula to solve this. First lets substitute values we know.
1.) Write the formula.
P=2(a+b)
2.) Replace any known values.
48=2(a+b)
3.) This part is the trick part. Since the sides of the parallelogram are on a ratio of 3:5, it means that the first side is 3 times more of any unknown value, while the second side will be 5 times more of that same value. knowing this we can turn this into an Algebraic equation.
48=2(a+b)
48=2(3x+5x)
4.) Solve.
48=2(3x+5x)
48=2(8x)
48=16x
48/16=16x/16
3=x; or x=3
5.) Now that we know our "unknown value", we can though it back into the ration to figure out the sides lengths.
First side length = 3x = 3(3) = 9
Second side length = 5x = 5(3) = 15
6). Therefore, the first side has the length of 9 and the second side has the length of 15.
7.) Check.
P=2(a+b)
P=2(9+15)
p=2(24)
p=48
48=48
