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Gnom [1K]
4 years ago
10

The area of rectangle bathroom floor is 53 5/8 feet. If the bathroom is 6 1/2 feet wide, what is the length

Mathematics
1 answer:
White raven [17]4 years ago
3 0

Answer:

The length is 8\frac{1}{4}\ ft

Step-by-step explanation:

we know that

The area of a rectangle is equal to

A=LW

In this problem we have

A=53\frac{5}{8}\ ft^{2}

W=6\frac{1}{2}\ ft

convert to an improper fraction

A=53\frac{5}{8}=\frac{53*8+5}{8}=\frac{429}{8}\ ft^{2}

W=6\frac{1}{2}=\frac{6*2+1}{2}=\frac{13}{2}\ ft

substitute in the formula and solve for L

\frac{429}{8}=L\frac{13}{2}

L=\frac{429*2}{8*13}=\frac{858}{104}\ ft

Convert to mixed number

L=\frac{858}{104}=\frac{832}{104}+\frac{26}{104}=8\frac{1}{4}\ ft

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