A rose garden is going to be built in the city park in the shape of a parallelogram with a rectangular walkway through it. The garden region is shown below. There will not be roses in the walkway. Find the total area where roses will be planted. Show your work.

the total area where roses will be planted is 1520 feet²

Step-by-step explanation:

The formula for determining the area of a parallelogram is expressed as

Area = base × height

From the information given,

Base = 20 + 40 = 60 feet

Height = 38 feet

Area of the rose garden = 60 × 38 = 2280 feet²

The formula for determining the area of a rectangle is expressed as

Area = length × width

From the information given,

Length = 38 feet

Width = 20 feet

Area of the rectangular walkway is

20 × 38 = 760 feet²

Therefore, the total area where roses will be planted is

2280 - 760 = 1520 feet²