Isosceles trapezoid

Perimeter of the isosceles trapezoid is 48 cm. One side is two times greater than the second side. Determine the dimensions of the trapezoid.

Correct answer:

a =  8 cm
b =  18 cm
c =  4 cm
d =  18 cm

Step-by-step explanation:


a+b+c+d=48
b=d
a= 2c
c = 4

a+b+c+d=48
b=d
a= 2·c
c = 4

a+b+c+d = 48
b-d = 0
a-2c = 0
c = 4

Row 3 - Row 1 → Row 3
a+b+c+d = 48
b-d = 0
-b-3c-d = -48
c = 4

Row 3 + Row 2 → Row 3
a+b+c+d = 48
b-d = 0
-3c-2d = -48
c = 4

Row 4 - 1/-3 · Row 3 → Row 4
a+b+c+d = 48
b-d = 0
-3c-2d = -48
-0.6667d = -12


d = -12/-0.66666667 = 18
c = -48+2d/-3 = -48+2 · 18/-3 = 4
b = 0+d = 0+18 = 18
a = 48-b-c-d = 48-18-4-18 = 8

a = 8
b = 18
c = 4
d = 18

Our linear equations calculator calculates it.



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