A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (13.5, 14, 20 , 28) meters and the total length of the carpet is (25.5, 26 ,32 ,40) meters. which number in the () is correct?

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Answer:

28 meters.

40 meters.

Step-by-step explanation:

Let x be the length of the larger piece, then we have:

1/4 x + 5 = 12

1/4 x = 12 - 5

1/4 x = 7

Multiply both sides by 4:

x = 28 meters.

The total length of the carpet =  12 + 28 = 40 meters.

The length of bigger piece is 28 and the total length of carpet is 40.

How to find the length of object from problem statement -

By the problem,

A machine cuts a strip of carpet into two pieces.

Given, length of smaller piece is 12 meters .

Also given, length of smaller piece = 5 + 1/4 (length of larger piece)

Length of larger piece = 4*(length of smaller piece - 5) meters

                                      = 4*(12 - 5) meters

∴ Length of larger piece is = 28 meters

Thus the total length of carpet is = length of larger piece + length of smaller piece .

Total length of carpet is = (28 + 12) meters = 40 meters

The length of bigger piece is (28)

The total length of carpet is (40)

To learn more about statement problem, refer -

https://brainly.com/question/18648288

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