LUANDATO wrote:A rectangular piece of cloth 2 feet wide was cut lengthwise into two smaller rectangular pieces. The shorter piece was one-third the length of the longer of the 2 new pieces and had an area of 12 square feet. What was the length in feet of the original piece of cloth before cutting?
A. 6
B. 18
C. 24
D. 36
E. 48
Area of a rectangle = LW.
A rectangular piece of cloth 2 feet wide was cut lengthwise into two smaller rectangular pieces.
The shorter piece had an area of 12 square feet.
Since the shorter piece has a width of 2 and an area of 12, we get:
L*2 = 12
L = 6.
The shorter piece was one-third the length of the longer.
Since the length of the longer piece is 3 times the length of the shorter piece -- and the shorter piece has a length of 6 -- the length of the longer piece = 3*6 = 18.
What was the length in feet of the original piece of cloth before cutting?
Total length = (length of the shorter piece) + (length of the longer piece) = 6+18 = 24.
The correct answer is
C.
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