Final answer:
The length of the rectangular classroom is 18 feet, determined by using the perimeter formula and the given relationship between length and width.
Step-by-step explanation:
To find the length of the rectangular classroom where the perimeter is 52 feet and the length is 10 more feet than the width, we first need to set up two equations based on the formula for the perimeter of a rectangle (P = 2l + 2w), where l is the length and w is the width. Let's denote the width as w and the length as w + 10, since the length is 10 feet longer than the width.
Substitute the length and width into the perimeter formula, we get:
52 = 2(w + 10) + 2w
Now, we solve for w:
52 = 2w + 20 + 2w
52 - 20 = 4w
32 = 4w
w = 8
Now that we have the width, calculate the length:
Length = w + 10 = 8 + 10 = 18 feet. Therefore, the length of the classroom is 18 feet.