Question
The perimeter of a rectangular ink pad is 46 centimeters. The ink pad is 13 centimeters wide. How tall is it?
centimeters
centimeters
Answers
GPT-4o mini
To find the height of the rectangular ink pad, we can use the formula for the perimeter of a rectangle:
\[
P = 2 \times (\text{length} + \text{width})
\]
In this case, we know the perimeter \( P = 46 \) cm and the width is \( 13 \) cm. Let's denote the height (or length) as \( h \). We can set up the equation as follows:
\[
46 = 2 \times (h + 13)
\]
Now, we can simplify and solve for \( h \):
1. Divide both sides by 2:
\[
23 = h + 13
\]
2. Subtract 13 from both sides:
\[
h = 23 - 13
\]
\[
h = 10
\]
Thus, the height of the ink pad is \( \boxed{10} \) centimeters.
\[
P = 2 \times (\text{length} + \text{width})
\]
In this case, we know the perimeter \( P = 46 \) cm and the width is \( 13 \) cm. Let's denote the height (or length) as \( h \). We can set up the equation as follows:
\[
46 = 2 \times (h + 13)
\]
Now, we can simplify and solve for \( h \):
1. Divide both sides by 2:
\[
23 = h + 13
\]
2. Subtract 13 from both sides:
\[
h = 23 - 13
\]
\[
h = 10
\]
Thus, the height of the ink pad is \( \boxed{10} \) centimeters.