Question

Drag each number to the correct location on the image. Not all numbers will be used.
Find the unknown side lengths of the figure. Then find the total area.

300
283
256
28
22
5
32
6
4

Answer 1

- 32 goes on the bottom of the image, representing the base of the figure
- 5 goes on the right side of the image
- 6 goes on the left side of the image

Now, let's calculate the unknown side lengths:

- The height of the figure can be found by using the Pythagorean theorem:
height ^ 2 + 5 ^ 2 = 6 ^ 2
height ^ 2 + 25 = 36
height ^ 2 = 11
height = √11 ≈ 3.32

- Now, let's find the remaining side of the figure:
base ^ 2 + height ^ 2 = 32 ^ 2
base ^ 2 + 11 = 1024
base ^ 2 = 1013
base ≈ √1013 ≈ 31.82

Now, to calculate the total area of the figure:
Area = (base * height) / 2
Area ≈ (32 * 3.32) / 2
Area ≈ 53.12

So, the total area of the figure is approximately 53.12.