Answer: [tex]43.5\ in^2[/tex]
Step-by-step explanation:
An Inch or Inches (in plural) is an unit lenght. Its abbreviation can be:
[tex]"[/tex] or [tex]in[/tex]
A Square inch or Square inches (in plural) is a unit of area and its abbreviation can be:
[tex]in^2[/tex]
The given expression is:
[tex](\frac{1}{2})(10\ in)(8.7\ in)[/tex]
You can rewrite it in this form:
[tex](\frac{1}{2})(\frac{10\ in}{1})(\frac{8.7\ in}{1})[/tex]
Then, you can follow these steps in order to solve it:
Step 1: Multiply the numerators (Remember that [tex]in*in=in^2[/tex]).
Step 2: Multiply the denominators.
Step 3: Finally, divide the product in the numerator by the product in the denominator
Threfore, you get the following result:
[tex]=\frac{(1)(10\ in)(8.7\ in)}{2*1*1}=\frac{87\ in^2}{2}=43.5\ in^2[/tex]