What is the perimeter of a shape with the following sides: m+2, m, 3m-3, 2m

The perimeter is the sum of the length of all sides. So add those terms up - what do you get?

Start by graphing the equations, you should get a trapezoid with two parallel sides.

Find the points of intersection detailed here (http://zonalandeducation.com/mmts/intersections/intersectionOfTwoLines1/intersectionOfTwoLines1.html) setting 2 equations equal to each other and solving for m. Then using m as your X coordinate and to find your Y coordinate for that point.

As you find the points show your work and plot them on the graph.

Use Pythagoras's theorem or the Distance Formulae to calculate the length of the line segments detailed here (http://www.purplemath.com/modules/distform.htm).

\sqrt{(\Delta x)^2 + (\Delta y)^2}

or

\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Add these 4 lengths together to get the perimeter.

Post what you get and how you got there and we'll help where we can.