Question

Find the area of a square with the given length of its side.

3 1/2a^3

Answer 1

Answer:

$A=(12\frac{1}{4})(a^{6})\ units^2$

Step-by-step explanation:

we know that

The area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

In this problem we have

$b=(3\frac{1}{2})a^{3}\ units$

Convert mixed number to an improper fraction

$3\frac{1}{2}=\frac{3*2+1}{2}=\frac{7}{2}$

substitute

$b=\frac{7}{2}a^{3}\ units$

substitute in the formula of area

$A=(\frac{7}{2}a^{3})^{2}$

$A=(\frac{7}{2})^2(a^{3})^{2}$

$A=(\frac{49}{4})(a^{3*2})$

$A=(\frac{49}{4})(a^{6})\ units^2$

Convert 49/4 to mixed number

$\frac{49}{4}=\frac{48}{4}+\frac{1}{4}=12\frac{1}{4}$

substitute

$A=(12\frac{1}{4})(a^{6})\ units^2$