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You are graphing polygon ABCD in the coordinate plane.

Let's draw ourselves a triangle.

What is the length of the base

This is the 90 degree angle right here.

Duplex Long Edge

It's a long creek, James. Which part?

So, for instance, we can plot the length of the edges.

So let's make let's try to make this right over here the right angle.

They also tell us the perimeter is 56 centimeters.

So, it's a regular pentagon, which means all of its sides have the same length, and they give us a side of one.

So the base squared we already saw, the base of our parallelogram is the length of vector v1.

And we want to know, what is the perimeter of ABCD? So let me write it down. The perimeter of rectangle ABCD is just going to be equal to the sum of the lengths of the sides.

The lengths of the sides of a triangle are so we have a triangle.

So what is the base here?

So the perimeter of any shape is just the sum of the sides.

How do I know it's not 15 or 16?

And what the Pythagorean theorem tells us is that the sum of the squares of the shorter sides is going to be equal to the square of the longer side, or the square of the hypotenuse.

That side length is equal to that side length, is equal to that side length, is equal to that side length

First of all, if it's a rhombus, we know that all of the sides are congruent

So what would be the distance halfway around the rectangle?

So the area of the square is going to be the

And all that tells us is it the sum of the squares of the shorter sides of the triangle are going to be equal to the square of the longer side.

And I'll give you one more piece of terminology here.

Problem 15.

They tell us the lengths of the sides are y, y plus 1, and 7 centimeters.

The opposite sides of a rectangle are parallel.

Now this is a photograph of Richard Kimble.

The area of ABC is just equal to times the base of that triangle times its height

And it has 4 sides, and the opposite sides are equal in length.

And let's say that this square has a perimeter. So square has a perimeter of 36.

And when I say the shorter side, I mean relative to the hypotenuse.

Let's say this (blue) side has lenght 6, this (pink) side has lenght 10 and this (green) side has lenght x

And each of these squares, their sides are 30 centimeters.

That side is parallel to that side right over here. This side is parallel to that side right over here.

And that's an important intuition to have in general.

So this is one cube right over here. I'll do my best to draw it.

The side that we call the hypotenuse.

How would you figure out its perimeter?