Four holes are to be drilled along the center of a strip of metal so that their centers are 2.25 cm apart. The centers of the two end holes are to be 3.35 cm from their corresponding ends, what is the length of the strip of metal.

1 answer

Let the length of the strip of metal be L cm.

According to the given information, the distance between the centers of the two outermost holes is 2.25 cm and the distance between the center of each end hole and their corresponding end is 3.35 cm.

Therefore, the distance between the centers of the two end holes is 2.25 cm + 3.35 cm + 3.35 cm + 2.25 cm = 11.2 cm.

Since the total length of the strip of metal is the sum of the distances between the two end holes and the distance between the two center holes, we have:

L = 11.2 cm + 2(2.25 cm) = 11.2 cm + 4.5 cm = 15.7 cm

Therefore, the length of the strip of metal is 15.7 cm.