What is the perimeter, in cm, of quadrilateral ABCD if Line AB is perpendicular to Line BC, Line DC is perpendicular to Line BC, AB=9 cm, DC=4 cm, and BC=12 cm?
Please help, I don't know how to solve this, an explanation would be helpful too, Thank you.

38cm

Step-by-step explanation:

The perimeter of the quadrilateral

ABCD=AB+BC+DC+AD.

From the question,

AB =9cm, BC=12cm and DC=4cm.

This implies that we need to find the length AD before we can proceed to find the perimeter.

From the diagram, we can find |AD| using Pythagorean Theorem.

Taking positive square root of both sides

Hence the perimeter

=9+12+4+13

=38cm