# Triangle area perimeter relationship

### Solve Right Triangle Given Perimeter and Area - Problem With Solution

You can use this formula to find the area of a triangle using the 3 side lengths. Given a triangle, with an area of square units, a perimeter of 16 and side. Is there a way to find the perimeter of a rectangle if you have the area, or vice There is no direct relationship between the perimeter of a rectangle and its area. Improve your math knowledge with free questions in "Rectangles: relationship between perimeter and area" and thousands of other math skills.

Click here for further mathematics related to the triangle sketch Next, we consider a rectangle with perimeter equal to units.

In the sketch below, drag point A to change the length and width of the rectangle. For what rectangle is the area maximized? What function describes the relationship between the lengths of the sides and the area of the rectangle? Is the function linear? Click here for further mathematics related to the rectangle sketch Drag points on the segment and points C and D on the pentagon below to change its size and shape. What is the largest area you can find with perimeter equal to units?

### Similar Triangles: Perimeters and Areas

What is the shape of the pentagon? What are the side lengths? Click here for further mathematics related to the pentagon sketch Find the largest area possible for the hexagon and octagon below. Compare your findings for the pentagon, hexagon, and octagon. What patterns do you notice in the side lengths, areas, and shapes?

## Area of triangles

Based on your investigations so far, what predictions can you make about the shapes, side lengths, and areas of decagons 10 sides with perimeter equal to units? You might ask students to consider how they might trace the perimeter of a polygon that is drawn on the board, or you may begin the day by running the perimeter of the school!

**Perimeter & Area Of Plane Figures ( Concept of Triangle )-1 Mensuration**

Discuss what it might mean to talk about the area of a polygon. Objectives Let the students know what it is they will be doing and learning today.

Say something like this: Today, class, we will be talking more about the perimeter and area of polygons. We will learn exactly what these terms mean, and we will learn how to calculate area and perimeter for certain polygons. We are going to use the computers to learn about area and perimeter, but please do not turn your computers on or go to this page until I ask you to.

I want to show you a little about the Shape Explorer applet first. Teacher Input You may choose to lead the students in a short discussion about how to find length, perimeter, and area for irregular figures.

Explain to the students how to do the assignment.

You should model or demonstrate it for the students, especially if they are not familiar with how to use our computer applets. Perimeter is the total length around the object. So imagine the grid lines are equal to one step. And imagine the outside edges of the figure are tight ropes.

You want to see how many steps it will take you to get all the way around the edge. The number of steps would be the perimeter.

Area is the amount of space in side the figure. So imagine the grid lines mark off floor tiles like the ones we have here at school. Now floor tiles are one-foot squares. So to find the amount of space in the object we just need to count the floor tiles. Once we have calculated the area and perimeter we will put our answers in the textfields and click the check answer button.

- Calculating the area and the perimeter
- Area and Perimeter of the Triangle
- Similar Triangles: Perimeters and Areas

If we got it right we will move on to harder shapes by using the adjust max size scroll bar. Plot a easy triangle. Convince them that this is the case by clicking the hint button. Next, plot a medium triangle click the hint button.

Show them how the area of the medium triangles is the area of the box minus the area of the two simple triangles. Now move on up to hard triangles.

Show them how the area of the triangles is the area of the box minus the area of the three simple triangles.