Question

A model of a house is shown.

Answer 1

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;

$Perimeter=2(6x -4 )+2(12x+3)+(14x+13)$

Simplifying the terms, we get;

$Perimeter=12x -8+24x+6+14x+13$

Adding the like terms, we have;

$Perimeter=50x+11$

Thus, the perimeter of the house is 50x + 11 units.

Hence, Option d is the correct answer.