The perimeter of Dana's rectangular garden is 42 feet. The length of her garden is 6 feet more than twice the width. A. Define the variables. (1pt)
B. Create an equation(s) that can be used to determine the length and width of the garden. (1pt)
C. What is the length and width of the garden? Show all your work (1pt)

The length of the garden is 16 ft while the width of the garden is 5 ft.

Explanation:

a)we want to start with defining the variables.

Let the length of the garden be w.

b) here, we want to create equation

From the question, the length is 6 feet more than twice the width of one garden

Mathematically, we have this as;

Furthermore, the perimeter is 42 feet

The formula of the perimeter is;

Dividing both sides by 2

c)Now, we want to solve both equations simultaneously

We can substitute the first equation into the second;

square root

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet