Answer :
This figure consists of two rectangles .
Given parameters :
- Area of the entire figure is 106 cm2
- Length of rectangle 1 = 10 cm
- Breadth of rectangle 1 = 7 cm
- Breadth of rectangle 2 = 4cm
To figure out :
- Length of rectangle 2 = x
Solution :
Area of rectangle 1 ,
- Length × Breadth
- 7 × 10
- 70 cm²
Area of rectangle 2 ,
- Length × Breadth
- x × 4
- 4x cm²
As given in the question the area of full figure is 106 cm² thus ,
- Area of rectangle 1 + Area of rectangle 2 = 106
- 70 + 4x = 106
- 4x = 106 - 70
- 4x = 36
- [tex]\sf\implies\::\:x\:=\:\dfrac{36}{4}[/tex]
- x = 9 cm
