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Answer:
a)
Area = (length) (width)
Area = 60c
Therefore, your length and width are 60 and c. This is because when you multiply these values, you get the area of 60c.
Use these dimensions to get the perimeter.
Perimeter = 2 (length + width)
Perimeter = 2 (60 + c)
We know the perimeter, which is (26c + 6).
26c + 6 = 2 (60 + c)
26c + 6 = 120 + 2c
Solve for c to get the missing side.
26c - 2c = 120 - 6
24c = 114
c = 4.75
B)
Check your answers by plugging c into the area and perimeter.
Area = (length) (width)
42c + 18c = (60) (4.75)
6c (7 + 3) = 285
60 (4.75) = 285
285 = 285
Perimeter = 2 (length + width)
26 (4.75) + 6 = 2 (60 + 4.75)
129.5 = 129.5
Both conditions satisfy. Therefore, your sides are 60 and 4.75