Answer: a) k=8
b) The area of the addition =

The area of the entire patio after addition

Explanation:
Given: The area of the patio before addition = 50 square feet
The area of the addition portion is given by

We can see that dimension of the total portion is

therefore, the area of the patio with the addition portion =

According to the question we have,

Therefore, The area of the addition =

The area of the entire patio after addition =
