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The perimeter is the sum of the side lengths. To find the area of the shape, you should divide it into more recognizable shapes.
Graph:
Perimeter≈ 44.9
Area=94
Let's graph and connect the points.
The perimeter adds up the length of a shape's sides. Any horizontal and vertical parts are the easiest to measure. The length of a horizontal segment is the absolute value of the difference between the endpoints' x-coordinates. Similarly, the length of a vertical segment is the absolute value of the difference between the endpoints' y-coordinates.
To measure the distance of the remaining sides, we have to use the Distance Formula.
| Points | sqrt((x_2-x_1)^2+(y_2-y_1)^2) | d |
|---|---|---|
| A( - 2,- 3), B( - 6,5) | sqrt(( - 2-( - 6))^2+( - 3- 5)^2) | sqrt(80) |
| C( 11,5), D( 7,2) | sqrt(( 11- 7)^2+( 5- 2)^2) | sqrt(25)=5 |
Let's mark the last sides length in the diagram.
Now we have enough information to calculate the perimeter of the shape. 5+9+17+5+sqrt(80)≈ 44.9 To find the area of the shape, we will divide it into a rectangle and two triangles. Note that the area of a triangle is half it's base times it's height. Let's mark these dimensions as well.
Now we have enough information to calculate the area of the shape. (8)(9)+1/2(8)(4)+1/2(4)(3)=94
