Question

The cafeteria uses rectangular trays with a raised edge around them. The area of the flat surface of each tray is 228 Inches squared and its length is 19 inches. What is the perimeter of the tray, where the raised edge is?

To find the width, use the formula w = StartFraction A Over l EndFraction, where w represents the width, A represents the area and l represents the length. To determine the perimeter, use the formula P = 2 l + 2 w, where P represents the perimeter, l represents the length, and w represents the width.
6 inches
12 inches
31 inches
62 inches

Answers

GPT-4o mini
To find the width of the tray, we can use the formula for width:

\[
w = \frac{A}{l}
\]

where \( A \) is the area and \( l \) is the length.

Given:
- Area \( A = 228 \) square inches
- Length \( l = 19 \) inches

Now calculate the width:

\[
w = \frac{228}{19}
\]

Now, let's perform the division:

\[
w = 12
\]

So the width \( w \) is 12 inches.

Now, we can find the perimeter \( P \) using the formula:

\[
P = 2l + 2w
\]

Substituting in the values of \( l \) and \( w \):

\[
P = 2(19) + 2(12)
\]

Calculating the terms:

\[
P = 38 + 24
\]

\[
P = 62
\]

Thus, the perimeter of the tray is **62 inches**.