Given:
Given that the model of the house.
The house is made up of two composite figures triangle and rectangle.
The two sides of the triangle are 6x - 4 units each.
The length of the rectangle is 14x + 13.
The width of the rectangle is 12x + 3.
We need to determine the perimeter of the house.
Perimeter:
The perimeter of the house can be determined by adding all the sides of the house.
Thus, we have;
[tex]Perimeter=2(6x -4 )+2(12x+3)+(14x+13)[/tex]
Simplifying the terms, we get;
[tex]Perimeter=12x -8+24x+6+14x+13[/tex]
Adding the like terms, we have;
[tex]Perimeter=50x+11[/tex]
Thus, the perimeter of the house is 50x + 11 units.
Hence, Option d is the correct answer.
