Question

The floor of a concert venue is 100 3/4 feet by 75 1/2 feet. what is the area of the floor?

Answer 1

`Area\ =100(3)/(4)*75(1)/(2)=100.75*75.5=7606.625\\\\ Area\ is\ equal\ to\ 7606.625feet^2.`

Answer 2

we know that

the area of the floor is equal to the area of a rectangle

so

Area of the floor
`=L*W`

where

L is the length side of the floor

W is the width side of the floor

`L=100(3)/(4) ft\\\\ L=(100*4+3)/4\\\\ L=(403)/(4) ft`

`W=75(1)/(2) ft\\\\ W=(75*2+1)/2\\\\ W=(151)/(2) ft`

Area of the floor
`=(403)/(4) *(151)/(2)`

Area of the floor
`= (60,853)/(8)`

Area of the floor=
`7,606.625` ft²

therefore

the answer is

the area of the floor is
`7,606.625` ft²