A rectangular piece of cloth 2 feet wide was cut lengthwise into two smaller rectangular pieces. The shorter piece was one-third of the length of the longer of the 2 new pieces and had an area of 12 square feet. What was the length Q in feet of the original piece of cloth before cutting?
Correct answer: C
Explanation
The question says, length of shorter piece is 1/3rd of the length of longer of the two new pieces
This means after I split it into two pieces, I have a shorter piece and a longer one. The length of shorter is 1/3rd the length of longer. The 6 I found out was length of shorter piece. Then, length of longer should be 18 and total length should be 24.
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.