Cumulative Assessment
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How is a perimeter calculated?
B
The perimeter of a shape is calculated by adding the lengths of all the sides. It is given that the perimeter of the triangle is 13 inches. We can write the following equation.
13=(x-5)+ x2+6
Remove parentheses
Commutative Property of Addition
a = 2* a/2
Add terms
LHS-1=RHS-1
LHS * 2=RHS* 2
.LHS /3.=.RHS /3.
Rearrange equation
Solving the equation gives x=8. One side of the triangle is 6 inches. We must solve for the values of the other two sides. To do this, we will substitute x=8 into the given equations.
| Equation | x=8 | Side Length |
|---|---|---|
| x-5 | 8-5 | 3 inches |
| x/2 | 8/2 | 4 inches |
The shortest side of the triangle measures 3 inches, which is option B.