Question

If the perimeter of triangle ABC is 4 more than the perimeter of triangle ACD, what is the perimeter of quadrilateral ABCD? AD is 5, DC is 6, AC is unknown, AB is unknown, CB is 7.

Answer 1

Answer:

26 units.

Step-by-step explanation:

AB + BC + AC = AC + AD + DC + 4

AC is common so

AB + BC = AD + DC + 4

AB + BC - AD - DC = 4

Substituting the given values

AB + 7 - 5 - 6 = 4

AB = 4 - 7 + 5 + 6 =  8

So the perimeter of ABCD

= AB + BC + AD + CD

= 8 + 7 + 5 + 6

= 26.