Robert needs four shelves from a broad that is 2.5 meter long. The second shelf 18 centimeters longer than twice the length of the first shelf. The third shelf is 12 centimeters shorter than first shelf. The remaining shelf is 4 centimeters long than the first shelf. If Robert must use the entire 2.5 meter board for shelves, what is the length of the second shelf, in centimeters

Question

Mathematics

Leia

23 April, 00:46

Robert needs four shelves from a broad that is 2.5 meter long. The second shelf 18 centimeters longer than twice the length of the first shelf. The third shelf is 12 centimeters shorter than first shelf. The remaining shelf is 4 centimeters long than the first shelf. If Robert must use the entire 2.5 meter board for shelves, what is the length of the second shelf, in centimeters

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Alison Meyer · Answer 1

A; b; c; d = first; second; third; fourth shelfa + b + c + d = 250 cmb = 2a + 18c = a - 12d = a + 4in terms of a, plug all equations into originala + (2a + 18) + (a - 12) + (a + 4) = 2505a + 10 = 2505a = 240a = 48b = 2 (48) + 18b = 96 + 18b = 114 cm/1.14 m