Judging by the model I would assume that ΔDBC is congruent to ΔDBA.
Thus, line CD should be congruent to line AD as well, which the solution should be line CD=13 units.
Answer:
8.06 inches
Step-by-step explanation:
The diagram shows a rectangle with width of 4 inches and area of 28 square inches.
Use area formula:
![A_{\text{rectangle}}=\text{Width}\times \text{Length}](https://tex.z-dn.net/?f=A_%7B%5Ctext%7Brectangle%7D%7D%3D%5Ctext%7BWidth%7D%5Ctimes%20%5Ctext%7BLength%7D)
So,
![28=4\times \text{Length}\Rightarrow \text{Length}=\dfrac{28}{4}=7\ \text{inches}](https://tex.z-dn.net/?f=28%3D4%5Ctimes%20%5Ctext%7BLength%7D%5CRightarrow%20%5Ctext%7BLength%7D%3D%5Cdfrac%7B28%7D%7B4%7D%3D7%5C%20%5Ctext%7Binches%7D)
By the Pythagorean theorem,
![\text{Diagonal}^2=\text{Width}^2+\text{Length}^2\\ \\\text{Diagonal}^2=4^2+7^2\\ \\\text{Diagonal}^2=16+49\\ \\\text{Diagonal}^2=65\\ \\\text{Diagonal}=\sqrt{65}\approx 8.06\ \text{inches}](https://tex.z-dn.net/?f=%5Ctext%7BDiagonal%7D%5E2%3D%5Ctext%7BWidth%7D%5E2%2B%5Ctext%7BLength%7D%5E2%5C%5C%20%5C%5C%5Ctext%7BDiagonal%7D%5E2%3D4%5E2%2B7%5E2%5C%5C%20%5C%5C%5Ctext%7BDiagonal%7D%5E2%3D16%2B49%5C%5C%20%5C%5C%5Ctext%7BDiagonal%7D%5E2%3D65%5C%5C%20%5C%5C%5Ctext%7BDiagonal%7D%3D%5Csqrt%7B65%7D%5Capprox%208.06%5C%20%5Ctext%7Binches%7D)
7.58.
You start with 64 x 27, then divide it by 300. after that, you get 57.6. The square root of that is 7.58.
T= -9 :) , because negative divided by a negative is a positive!
Image 1.
21
image 2.
25
image 3.
10