In order to find the area of the web browser, recall that the equation to find the area is length*width. Since we know that the area is 24 square inches, we can create an equation:
x(x - 2) = 24
x^2 - 2x - 24 = 0
Factor:
(x - 6)(x + 4) = 0
{6, -4}
Since the length can't be a negative number, we can rule out -4 and affirm that x = 6.
Since we know the browser makes up 3/13 of the screen, we can make an equation with a variable where 'a' represents area of the computer:
(3/13) * a = 6
3a/13 = 6
3a = 78
a = 26
Now that we know the area, we can solve for the dimensions:
l*w = 26
(x + 7) * w = 26
(6 + 7) * w = 26
(13) * w = 26
w = 2
Input the width into the original equation:
l * (2) = 26
l = 13
The dimensions of the computer are 13 x 2.
The length of the browser is 6 inches.
Let me know if you need me to explain anything I did here.
-T.B.