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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 roes in the walkway. Find the total area where roes will be planted. Show your work.

A rose garden is going to be built in the city park in the shape of a parallelogram-example-1
User Enagra
by
6.6k points

1 Answer

7 votes

760 sq feet

Explanation:

Step 1 :

The sides of the given parallelogram are 60 feet and 40 feet and the height is 38 feet

The length of the rectangular walkway = 38 ft

Width of the walkway = 20 ft

The roses are planted in the park (parallelogram) except in the walkways 's area ( rectangle)

Hence the total area where the roses are planted is the park 's area (parallelogram) - the walkway's area ( rectangle.)

Step 2 :

Area of the park (parallelogram ) = b * h = 40 * 38 = 1520 sq ft

Area of the walkway (rectangle) = l * b = 38 * 20 = 760 sq ft

Area of the park where roses will be planted = 1520 - 760 = 760 sq ft.

User Eugene Lazutkin
by
8.1k points
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