Question

The clayton family's pool has vertices at the coordinates, 0,2, 0,5, 2,5 2,6 5,6 5,1 2,1, 2,2.If each grid square has an area of 9 square feet, what is the area of the pool?

Answer 1

Answer:

189 ft ^ 2

Step-by-step explanation:

The first thing to do is locate the points given in the exercises on a Cartesian plane, attached figure.

After doing this, we can see that the pool is shaped like two continuous rectangles. We must calculate the area of each and add them to obtain the value of the total area of the pool.

For the small rectangle, if we see the figure we can see that one side measures 3 units and the side 2 units.

We know that the area of a rectangle is the multiplication of its sides:

A = 3 * 2 = 6 square units.

For the large rectangle, if we look at the figure we can see that one side measures 5 units and the side 3 units.

A = 5 * 3 = 15 square units.

So the total area would be:

15 + 6 = 21 square units

It tells us that a square unit measures 9 square feet, therefore the area would be:

21 * 9 = 189 ft ^ 2

Therefore the pool area has an area of 189 square feet.

Answer 2

Answer:

189 square feet.

Step-by-step explanation:

If we draw these coordinates in the X-Y coordinate plane, we can see the area enclosed by the vertices, count how many grid squares we have, and then multiply the number of squares by the area of 9 square feet.

Seeing the image attached, we can count 21 grid squares inside the figure made with the vertices (to form the sides of the pool, we connected each subsequent vertix).

So the area of the pool is 21 * 9 = 189 square feet.