Directions: Please find the area and side length of square ACEG. Please show all of your work (all of your calculation) in the grey box below.

9514 1404 393

Step-by-step explanation:

There are a couple of ways to do this. You can find the side length and then the area, or you can find the area and then the side length.

There are a couple of different ways to find the area. Here, we'll subtract the area of the triangles from the area of the larger square.

The larger square has sides of length 6+8 = 14, so its area is 14² = 196.

The area of each triangle is 1/2(6)(8) = 24, so the four of them together have a total area of 4×24 = 96.

Then the area of the smaller square is 196 -96 = 100 square units.

The side length is the square root of that, √100 = 10 units.

Alternate solution

Using the Pythagorean theorem, you can find the square of the side length (which is the area of the smaller square), and the side length.

  AC² = AB² +BC²

  AC² = 6² +8² = 36 +64 = 100 = area of ACEG

  AC = √100 = 10

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.