Question

A wire 2.5 meters long was cut in a ratio of 1:4. Find the measure of the longer part of the wire after cutting.

A. 0.625 meters

B. 1.25 meters

C. 1.875 meters

D. 2.375 meters

Answer 1

To find the longer part of the wire after cutting, divide the total length by the sum of the ratio values and multiply it by the length ratio.

Step-by-step explanation:

To find the measure of the longer part of the wire after cutting, we need to determine the lengths of the short and long parts of the wire. The ratio of 1:4 means that the wire was divided into 1 part and 4 parts. Since the total length of the wire is 2.5 meters, we can calculate the length of the long part as follows:

Long part = Total length × (Length ratio / (Length ratio + 1))

Long part = 2.5 meters × (4 / (4 + 1))

Long part = 2.5 meters × (4 / 5)

Long part = 10 / 5 meters

Long part = 2 meters

The measure of the longer part of the wire after cutting is 2 meters.