Amachine 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 meters and the total length of the carpet is meters. nextreset

Let l = length of larger piece  smaller piece = 5 greater than 1/4 l = 1/4 l + 5  also, the smaller piece = 12  so, put them together:   1/4 l + 5 = 12  and solve for l.  subtract 5 from both sides:   1/4 l = 7  multiply both sides by 4:   l = 28  the length of the bigger piece is 28 meters, and  the total length of the carpet is 28+12 = 40 meters.