Answer:
x = 2.5
Explanation:
AB = 4x-2
AD = 3AB
= 3(4x-2) (multiply the brackets by 3)
= 12x-6
Since this is a kite, sides (AB and BC) are equal and sides (AD and DC) are also equal. So,
BC = 4x-2
DC = 12x-6
To find the perimeter we add all lengths together:
AB + AD + BC + DC
= 4x-2+4x-2+12x-6+12x-6
=32x-16
And since the perimeter is equal to 64 (from the question) we make the above expression equal to 64 to find x:
32x-16 = 64 (add 16 to both sides)
32x = 80 (divide by 32 on both sides)
x = 5/2 = 2.5