Question

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

Answer 1

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

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