Question

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

Answer 1

Answer:

Area = 105 11/12

Explanation:

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

$A\frac{b}{c}=\frac{(A\times c)+b}{c}$

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

$\begin{gathered} 10\frac{1}{3}=\frac{(10\times3)+1}{3}=\frac{31}{3} \\ 10\frac{1}{4}=\frac{(10\times4)+1}{4}=\frac{41}{4} \end{gathered}$

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:

$\text{Area = }\frac{31}{3}\times\frac{41}{4}=\frac{31\times41}{3\times4}=\frac{1271}{12}$

Finally, 1272/12 as a mixed number is

$\frac{1271}{12}=105\frac{11}{12}$

Therefore, the area is 105 11/12