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Let the width be x. Since the length is 30inches longer than the width, the length is 30 + x.
Area = length x width = (30 + x)(x)
i.e. (30 + x)(x) = 1800 square inches.
x + 60 = 0 or x - 30 = 0
x = -60 or x = 30
but the width cannot be a negative number, hence x = 30inches
i.e. width = 30 inches
length = 30 + 30 = 60 inches.
Area = length x width = (30 + x)(x)
i.e. (30 + x)(x) = 1800 square inches.
x + 60 = 0 or x - 30 = 0
x = -60 or x = 30
but the width cannot be a negative number, hence x = 30inches
i.e. width = 30 inches
length = 30 + 30 = 60 inches.