8.4k views
3 votes
Her current garden is 45 square feet. If she added another rectangular piece with vertices located at (−21, 7), (−23, 7), (−21, 12), and (−23, 12), what is the total area of the garden?

User TinaW
by
7.2k points

1 Answer

5 votes

Answer:

Therefore, the total area of the garden is 55 square feet.

Explanation:

To find the area of the rectangular piece with vertices located at (−21, 7), (−23, 7), (−21, 12), and (−23, 12), we need to find the length and width of the rectangle.

The length of the rectangle is the distance between points (-21, 7) and (-21, 12), which is 12 - 7 = 5 feet.

The width of the rectangle is the distance between points (-21, 7) and (-23, 7), which is 23 - 21 = 2 feet.

Therefore, the area of the rectangular piece is 5 x 2 = 10 square feet.

To find the total area of the garden, we need to add the area of the rectangular piece to the current garden area of 45 square feet.

Total area = 45 + 10 = 55 square feet.

Therefore, the total area of the garden is 55 square feet.

User Glen Morse
by
6.9k points