The triangle shown has a perimeter of 22 units. If x = 9 units and y = 7 units, what is the value of z, in units? SAT Math Prep Question

The triangle shown has a perimeter of 22 units. If x = 9 units and y = 7 units, what is the value of z, in units?
A) 6
B) 7
C) 9
D) 16

Answer

The perimeter of an object is the sum of the length of all its sides. Imagine you want to construct a rope fence around the shape. How much rope would you need? That’s the perimeter.

Perimeter = sum of lengths of all sides

Perimeter = length x + length y + length z

Given:

Length x = 9

Length y = 7

Perimeter = 22

Let’s add these values to the equation.

Perimeter = length x + length y + length z

22 = 9 + 7 + z

Solving for z gives us the following (after subtracting 9 and 7 from both sides)

22 – 9 -7 = z

6 units = z

The correct answer is A

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