Find the area of the polygon with the given vertices. j(-3,\ 4),\ k(4,\ 4),\ l(3,-3) the area is square units.

The area of a shape is the amount of space the shape can contain. The area of polygon JKL is 24.5 square units.

Given that:

The three vertices implies that, the polygon is a triangle.

The coordinates with the same y-axis is the base of the triangle.

This means that JK is the base.

The length of the base is the calculated using the following distance formula:

So, we have:

So, the base is:

Next, we determine the height.

This is a point from any point on the base to the point on the same line as: vertex L

The point is (4, -3) --- see attachment for illustration.

So, we calculate the distance from (4,4) and (4,-3)

The area is then calculated as:

Hence, the area of the polygon is 24.5 square units.

Read more about areas at:

link

check the picture below.  You can pretty much count the units off the grid.

recall A = (1/2)bh, the height or altitude is the straight distance from the point to the base, in this case, 7.

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2