Question

Rectangle is 10 1/3 by 10 and 1/4 what is the area

Answer 1

Area = 105 11/12

Step-by-step explanation:

First, we need to convert the mixed numbers into fractions using the following equation:

`A(b)/(c)=((A* c)+b)/(c)`

So, 10 1/3 and 10 1/4 are equivalent to:

`\begin{gathered} 10(1)/(3)=((10*3)+1)/(3)=(31)/(3) \\ 10(1)/(4)=((10*4)+1)/(4)=(41)/(4) \end{gathered}`

Then, the area of a rectangle can be calculated as:

Area = Length x Width

So, the area of a rectangle of 31/3 by 41/4 is:

`\text{Area = }(31)/(3)*(41)/(4)=(31*41)/(3*4)=(1271)/(12)`

Finally, 1272/12 as a mixed number is

`(1271)/(12)=105(11)/(12)`

Therefore, the area is 105 11/12