Respuesta :

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]