Answer:
B=210
C=450
Step-by-step explanation:
Since you are asking for number 8, let's work with that problem :)
Firstly, we have to know we have rectangles here, and the area of a rectangle is given by the following formula:
![A_{rectangle}=(width)(height)](https://tex.z-dn.net/?f=A_%7Brectangle%7D%3D%28width%29%28height%29)
So, in this problem we are given as an example the rectangle
, with witdth
and height
. So, its area is:
![A=(90)(30)=2700](https://tex.z-dn.net/?f=A%3D%2890%29%2830%29%3D2700)
The same happens with the small rectangle
:
![B=(7)(5)=35](https://tex.z-dn.net/?f=B%3D%287%29%285%29%3D35)
And, we have to do the same with rectangles
and
:
<u>Rectangle
:</u>
Width:7
Height:30
![B=(7)(30)=210](https://tex.z-dn.net/?f=B%3D%287%29%2830%29%3D210)
<u>Rectangle
:</u>
Width:90
Height:5
![B=(90)(5)=450](https://tex.z-dn.net/?f=B%3D%2890%29%285%29%3D450)
If we sum
,
,
and
the result must be equal to the total are of the big rectangle:
![A+B+C+D=2700+210+450+35=3395](https://tex.z-dn.net/?f=A%2BB%2BC%2BD%3D2700%2B210%2B450%2B35%3D3395)
Area of big rectangle with width
and height
:
![(97)(35)=3395](https://tex.z-dn.net/?f=%2897%29%2835%29%3D3395)