SOLUTION: A rectangular hole 3cm wide and x cm long is cut in a rectangular sheet of metal that is 4cm wide and y cm long. The length of the hole is 1cm less than the length of the metal she
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Question 1012032: A rectangular hole 3cm wide and x cm long is cut in a rectangular sheet of metal that is 4cm wide and y cm long. The length of the hole is 1cm less than the length of the metal sheet. After the hole is cut, the area of the remaining metal sheet is 20 square cm. Find the length of the hole and the length of the metal sheet.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
x = y-1
4y - 3(y-1) = 20
4y - 3y + 3 = 20
y = 17
x = 16
length of hole is 16 cm and length of metal sheet is 17 cm
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check our answer
4*17 - 3*16 = 20
68 - 48 = 20
20 = 20
our answer checks
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