Answer:
length = 15
Width = 9
Step-by-step explanation:
In a rectangle opposite sides are equal.
5x - y- 8 =3x +5y + 4
5x - 3x -y - 5y = 4 + 8
2x - 6y = 12
Divide the entire equation by 2
x - 3y = 6 --------------(I)
3x + y - 4 = 2x - 6y - 3
3x - 2x + y + 6y = -3 + 4
x + 7y = 1 -------------(II)
Multiply equation (II) by (-1)
(I) x - 3y = 6
(II)*(-1) <u>-x - 7y = -1</u> {Now add. 'x' will be eliminated}
-10y= 5
y = 5/(-10)
y = -0.5
Plugin y = -0.5 in equation (I)
x - 3*(-0.5) = 6
x + 1.5 = 6
x = 6 - 1.5
x = 4.5
Length = 5x - y - 8
= 5*4.5 - (-0.5) - 8
= 22.5 + 0.5 - 8
= 23 - 8
Length = 15
Width = 2x - 6y - 3
= 2*4.5 - 6*(-0.5) - 3
= 9 + 3 - 3
Width = 9
