Answer:
For the value of x = 9, the perimeter of the shape will be 186 cm.
Step-by-step explanation:
Given
- Length of rectangle = l = 5x+6 units
- Breadth of rectangle = w = 4x+6 units
We know that Perimeter of rectangle = 2(L + w) units
Given that the perimeter of shape 186 cm.
Thus, the equation becomes
2(L + w) = 186
2(5x+6 + 4x+6) = 186
2(9x+12) = 186
Divide both sides by 2
9x+12 = 93
9x = 93-12
9x = 81
Divide both sides by 9
x = 9
Thus, the value of x = 9
Hence, for the value of x = 9, the perimeter of the shape will be 186 cm.