Question

The what of a laptop is 11.25 inches the width is .75 times the length what is the length of the laptop

Answer 1

The length of the laptop is 3.873 inches, if the what of a laptop is 11.25 inches and the width is .75 times the length.

Step-by-step explanation:

The given is,

                The what of a laptop is 11.25 inches

                The width is .75 times the length

Step:1

               Formula for area of rectangle (Laptop) is,

                         $Area, a = lb$............................(1)

               Where,

                           l - Length of the laptop

                          b - Width of the laptop

Step:2

                From given,

                              $w = 0.75l$

                Equation (1) becomes,

                              $11.25=(0.75l)(l)$

                              $11.25= 0.75l^{2}$

                              $l^{2} = \frac{11.25}{0.75}$

                              $l^{2}= 15$

                               $l=\sqrt{15}$

                              $l=3.873$ inches

                From the length of laptop,

                             $w=(0.75)(3.873)$

                            $w=2.905$ inches

Step:3

           Check for solution,

                         $11.25=(3.873)(2.905)$

                         $11.25=11.25$

Result:

           The length of the laptop is 3.873 inches, if the what of a laptop is 11.25 inches and the width is .75 times the length.