Answer:
W = 5 L = 7
Step-by-step explanation:
L = 3W - 8
A = 35
I plugged in 5 for W and got 7 as L.
L x W or 7 x 5 = 35
The length and width of rectangle is 7m and 5m respectively.
Given that , The length of a rectangle is 8m less than three times the width
Let us consider that,
Width of rectangle [tex]=x[/tex]
Length [tex]=3x-8[/tex]
Area of rectangle = [tex]x*(3x-8)[/tex]
[tex]3x^{2} -8x=35\\\\3x^{2} -8x-35=0\\\\x=\frac{8\pm\sqrt{64+420} }{6}\\\\x=\frac{8\pm22}{6}\\\\x=5,x=-2.34[/tex]
Distance can not be negative.
Width of rectangle [tex]=x=5m[/tex]
Length of rectangle[tex]=3x-8=3(5)-8=7m[/tex]
Therefore, The length and width of rectangle is 7m and 5m respectively.
Learn more:
https://brainly.com/question/3244708
