Hello!
The answer is:
The correct option is:
A. 10 in.
Why?
To calculate the length of the rectangle using its perimeter and one of its sides (width), we need to remember the formula to calculate the perimeter of a rectangle.
[tex]Perimeter_{rectangle}=2width+2length[/tex]
Now, we are given the following information:
[tex]Perimeter=34in\\Width=7in[/tex]
Then, substituting and calculating, we have:
[tex]Perimeter_{rectangle}=2width+2length[/tex]
[tex]34in=2*7in+2length[/tex]
[tex]34in-14in=2length\\\\2length=20in\\\\length=\frac{20in}{2}=10in[/tex]
Hence, we have that the length of the rectangle is equal to 10 inches.
So, the correct option is:
A. 10 in.
Have a nice day!
