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

The length is
`8(1)/(4)\ ft`

Explanation:

we know that

The area of a rectangle is equal to

`A=LW`

In this problem we have

`A=53(5)/(8)\ ft^(2)`

`W=6(1)/(2)\ ft`

convert to an improper fraction

`A=53(5)/(8)=(53*8+5)/(8)=(429)/(8)\ ft^(2)`

`W=6(1)/(2)=(6*2+1)/(2)=(13)/(2)\ ft`

substitute in the formula and solve for L

`(429)/(8)=L(13)/(2)`

`L=(429*2)/(8*13)=(858)/(104)\ ft`

Convert to mixed number

`L=(858)/(104)=(832)/(104)+(26)/(104)=8(1)/(4)\ ft`