The area of a telescope lens is 6.716 × 103 mm2. (a) what is the area in square feet (ft2)? enter your answer in scientific notation.

The area is [tex]6.716*10^3mm^2[/tex]. This is in square millimeters and we want to convert this to square feet. One millimeter is about 0.00328 feet. Thus, we square both numbers to get how many square feet is equal to a square millimeter.

[tex](1mm)^2=(0.00328ft)^2[/tex]

[tex]1mm^2=1.076*10^{-5}ft^2[/tex]

(Note: I rounded here because the numbers can get quite large)

Now, we multiply [tex]6.716*10^3mm^2[/tex] with [tex]1.076*10^{-5}\frac{ft^2}{mm^2}[/tex] to get our answer.

After doing that, you get [tex]7.226*10^{-2}ft^2[/tex] (this is rounded). Hope this helps and have an awesome day! :)