What is the perimeter of the figure?
Understand the Problem
The question asks us to find the perimeter of the given figure. We need to determine the lengths of all sides and then add them up to find the total perimeter.
Answer
D) 54 yards
Answer for screen readers
D) 54 yards
Steps to Solve
- Identify all the sides
The figure has 6 sides. We are given the lengths of 4 sides: 15 yd, 7 yd, 12 yd, and 5 yd.
- Find the missing sides
Let's label the unknown horizontal side as $x$ and the unknown vertical side as $y$.
- Calculate the value of x
The total length of the bottom side is 12 yd. This must equal the sum of the top horizontal lengths, so $x + 7 = 12$. Solving for $x$: $x = 12 - 7 = 5$ yd.
- Calculate the value of y
The total length of the left vertical side is 15 yd. This must equal the sum of the right vertical lengths so $y + 5 = 15$. Solving for $y$: $y = 15 - 5 = 10$ yd.
- Calculate the perimeter
The perimeter is the sum of all the sides: $15 + 12 + 5 + 10 + 7 + 5$.
- Simplify the expression
$15 + 12 + 5 + 10 + 7 + 5 = 54$ yd
D) 54 yards
More Information
The perimeter of the figure is 54 yards, which is the total length of all the sides added together.
Tips
A common mistake is to only add up the sides that are given in the diagram, forgetting to calculate the lengths of the missing sides. Another mistake is to incorrectly calculate the missing sides by subtracting the wrong values.
AI-generated content may contain errors. Please verify critical information
