Question

A web browser is open on your computer screen. a. the area of the browser window is 24 square inches. find the length of the browser window x. in. b. the browser covers 313 of the screen. what are the dimensions of the screen?

Answer 1

• The length of the browser web-browser window will be 6in.
• The dimensions of the screen will be Length = 13in. and Breadth = 8in.

A. In the given question, it is stated that the browser opened on a screen that has an area of 24 square inches. The dimensions given in the picture for browser are length = x, and breadth = (x - 2). We have to find out its length.

We know the Area of a Rectangle is length * breadth. Given that Area =  24 square inches, Putting values of the dimensions of the browser in the formula we get:

=>  Area = l * b   => 24 = x(x - 2)

=>  24 = x² - 2x  =>  x² - 2x -24

=>  x² - 6x + 4x - 24 (By middle term split)  

=>  x(x - 6) + 4(x - 6)

=> (x + 4)(x - 6) are the factors.

Putting x + 4 = 0, and x - 6 = 0 we get values of x = -4, 6

Since length can not be negative, then x = 6

Hence, the Length of Web-browser is 6in.

B. It is given that the browser covers 3/13 Area of the Screen, let the Area of the screen be A, and area of the browser = 24 square inches. We get our equation: $\frac{3}{13} * A = 24in^{2}$

=>  $A = \frac{24 * 13}{3}$  => $A = 104in^{2}$

We get Area A of browser 104in². Now we know that the Area of the Rectangle is length*breadth. In the given picture, we have:

length = (x + 7) and we know x = 6in, So, Length of screen l = 6 + 7

=> Length = 13in. Putting these values of l = 13in and A = 104in² we get:

=> Area = l * b  => 104 = 13 * b

=> b = 8in

The breadth b = 8in

Hence, the dimensions of the screen are l = 13in, and b = 8in.

To know more about the Area of the Rectangle, Click here:

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Complete question:

A web browser is open on your computer screen.

a. The area of the browser window is 24 square inches. find the length of the browser window x.

b. The browser covers 3/13 of the screen. what are the dimensions of the screen?