Respuesta :
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,
[tex]Area, a = lb[/tex]............................(1)
Where,
l - Length of the laptop
b - Width of the laptop
Step:2
From given,
[tex]w = 0.75l[/tex]
Equation (1) becomes,
[tex]11.25=(0.75l)(l)[/tex]
[tex]11.25= 0.75l^{2}[/tex]
[tex]l^{2} = \frac{11.25}{0.75}[/tex]
[tex]l^{2}= 15[/tex]
[tex]l=\sqrt{15}[/tex]
[tex]l=3.873[/tex] inches
From the length of laptop,
[tex]w=(0.75)(3.873)[/tex]
[tex]w=2.905[/tex] inches
Step:3
Check for solution,
[tex]11.25=(3.873)(2.905)[/tex]
[tex]11.25=11.25[/tex]
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.
