Surface=2(5 x 4)+2(4 x 7)+2(5 x 7)=2(20)+2(28)+2(35)=40+56+70=166
Answer: 166 cm²
Answer:
y=-1
x=-3
Step-by-step explanation:
Yes 5/6 is smaller than 3/5
Given:
The area model.
The area of the shape is 82 square units.
To find:
The correct equation for the given situation.
Solution:
We know that, area of a rectangle is
![Area=Length \times Width](https://tex.z-dn.net/?f=Area%3DLength%20%5Ctimes%20Width)
The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is
![A_1=(x)\times (3x)=3x^2](https://tex.z-dn.net/?f=A_1%3D%28x%29%5Ctimes%20%283x%29%3D3x%5E2)
![A_2=(x)\times (4)=4x](https://tex.z-dn.net/?f=A_2%3D%28x%29%5Ctimes%20%284%29%3D4x)
![A_3=(3)\times (3x)=9x](https://tex.z-dn.net/?f=A_3%3D%283%29%5Ctimes%20%283x%29%3D9x)
Now, the total area is equation to 82 square units.
![A_1+A_2+A_3=82](https://tex.z-dn.net/?f=A_1%2BA_2%2BA_3%3D82)
![3x^2+4x+9x=82](https://tex.z-dn.net/?f=3x%5E2%2B4x%2B9x%3D82)
![3x^2+13x=82](https://tex.z-dn.net/?f=3x%5E2%2B13x%3D82)
Since the required equation is
, therefore, the correct option is C.
| 8 | | 1 | | 6 |
-------------------
| 3 | | 5 | | 7 |
-------------------
| 4 | | 9 | | 2 |