Three sides of a quadrilateral are the same length, q. The length of the fourth side  is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation

The perimeter of a quadrilateral is the sum of the lengths of all its sides. In this case, three sides have the same length, \( q \), and the fourth side is 7 inches. The perimeter is given as 40 inches.

The equation representing the situation is:

\[
3q + 7 = 40
\]

This equation includes the three equal sides \( 3q \) and the fourth side \( 7 \), totaling the given perimeter \( 40 \).

Would you like to solve this equation or explore a related concept? Here are some related questions to consider:

1. How can you solve for \( q \) in the equation \( 3q + 7 = 40 \)?
2. What would the lengths of the sides be if \( q \) is found?
3. How does this equation change if the perimeter is increased by 10 inches?
4. What would the equation look like if the fourth side were \( x \) instead of 7 inches?
5. Can this concept be applied to a similar problem involving a pentagon?

**Tip:** Always break down problems involving perimeters into their individual sides to construct equations.

Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation

Learn how to write an equation to represent the perimeter of a quadrilateral with three equal sides and a fourth side of 7 inches. The total perimeter is 40 inches, and the equation is 3q + 7 = 40. Suitable for students in Grades 6-8.

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