Let's calculate the perimeter of the outside edge of the frame step by step.
1. The dimensions of the certificate are 8 inches by 10 inches.
2. The frame is 1.5 inches wide all around the certificate.
3. To find the dimensions of the outside edge of the frame, we need to add twice the width of the frame to each dimension of the certificate (since the frame goes around both sides of each dimension).
- For the width: \( 8 \text{ inches} + 2 \times 1.5 \text{ inches} = 8 \text{ inches} + 3 \text{ inches} = 11 \text{ inches} \).
- For the height: \( 10 \text{ inches} + 2 \times 1.5 \text{ inches} = 10 \text{ inches} + 3 \text{ inches} = 13 \text{ inches} \).
4. Now, we can find the perimeter of the outside edge of the frame. The perimeter \( P \) of a rectangle is given by the formula \( P = 2 \times (\text{length} + \text{width}) \).
- Length: 13 inches
- Width: 11 inches
So, the perimeter \( P \) will be:
\[
P = 2 \times (13 \text{ inches} + 11 \text{ inches}) = 2 \times 24 \text{ inches} = 48 \text{ inches}
\]
Therefore, the perimeter of the outside edge of the frame is 48 inches.
So, the correct answer is:
48 in.
4.
A rectangular certificate 8 in. by 10 in. will have a frame1 1/2 in. wide surrounding it. What is the perimeter of the outside edge of the frame?
160 in.
120 in.
80 in.
48 in.
1 answer
1 answer