The perimeter of the quadrilateral is 46 centimeters. Find the length of each side

Question

Side 1- x+5

side 2- x+8

side 3- x^2-2x

side 4- 2x-2

Answer 1

Perimeter = Sum of all four sides= ( X+5 ) + ( X+8) + (X² - 2X) + (2X-2) = 46 cm = a+b+c+d

X² +2X +11 = 46

or

X² +2X - 35 = 0

X² +7X -5X -35 =0

X( X+7 ) - 5 (X+7)=0

(X-5) ( X+7) =0

X has two values

X = 5 and X = -7

For X = 5

Side a = 10 cm

b =13 cm

c = 15

d = 8 cm

Perimeter = 46 cm

For X = -7

a= -2 cm

b= 1 cm

c= 63 cm

d = -16 cm

Perimeter = a+b+c+d = 46 cm

Two possible options ( one correct one incorrect )

Can side of a quadrilateral have -ve Length ?

Make a choice