Answer: Choice B) 1 & 1/2 feet
This is the same as 1.5 feet and it is equivalent to the improper fraction 3/2.
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Step-by-step explanation:
Let's convert the given mixed numbers into improper fractions.
A = 5 & 1/3 = 5 + 1/3 = 15/3 + 1/3 = (15+1)/3 = 16/3
L = 3 & 5/9 = 3 + 5/9 = 27/9 + 5/9 = (27+5)/9 = 32/9
So the area and length are 16/3 and 32/9 respectively.
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Let's solve for the width W
area = length*width
A = L*W
16/3 = (32/9)*W
9*(16/3) = 9*(32/9)*W ..... multiplying both sides by 9
48 = 32W
32W = 48
32W/32 = 48/32 ....... dividing both sides by 32
W = 48/32
W = (32+16)/32
W = 32/32 + 16/32
W = 1 + 1/2
W = 1 & 1/2 feet is the width
This is equivalent to 3/2 since 48/32 = 3/2
It's also equivalent to 1.5 because 3/2 = 1.5