Problem 4 · Label with a letter (early algebra) · 4 points
Made by AI and not reviewed by a real person.
Two identical squares are placed side by side to make a rectangle. The perimeter of the rectangle is 30. What is the side length of each square?
- 6
- 3
- 4
- 10
- 5
Show a hint
- Call the square's side s. How long and how tall is the rectangle in terms of s?
- Walk around the rectangle and add up all the sides.
Show the answer and solution
Answer: E — 5
Let the square's side be s. The rectangle is 2s long and s tall, so its perimeter is 2s + s + 2s + s = 6s. From 6s = 30 we get s = 5. Giving an unknown a name and computing with the name — before knowing its value — is the very heart of algebra.