Question

april wrapped 2 identical gift boxes. each box was (l) inches long, (w) inches wide, and (h) inches high. she applied a decorative ribbon around each gift box, as shown in the figure. on the top and bottom of each box, she formed right angles where the ribbon crossed. about how many inches of ribbon did april use for both gift boxes?
a (2l + 2w+2h)
b (2(2l + 2w + 2h))
c (2(2l + 2w+4h))
d (2(2l + 4w + 2h))

Explanation:

Step1: Analyze ribbon length for one box

For one box, on the top - two lengths and two widths of ribbon are used for the top and bottom cross - overs. And four heights of ribbon are used to go around the sides. So the length of ribbon for one box is $2l + 2w+4h$.

Step2: Calculate ribbon length for two boxes

Since there are 2 identical boxes, we multiply the length of ribbon for one box by 2. So the total length of ribbon for two boxes is $2(2l + 2w + 4h)$.

Answer:

C. $2(2l + 2w + 4h)$