Question

HELP! A gardener would like to add to their existing garden to make more flowers available for the butterflies that visit the garden. Her current garden is 20 square feet. If she added another rectangular piece with vertices located at (−18, 13), (−14, 13), (−18, 5), and (−14, 5), what is the total area of the garden?

640 ft2
320 ft2
52 ft2
32 ft2

Answer 1

Explanation:

To find the area of the rectangular piece, we can use the formula:

Area = length x width

We can find the length of the rectangle by calculating the difference between its two x-coordinates:

Length = |-14 - (-18)| = 4 ft

We can find the width of the rectangle by calculating the difference between its two y-coordinates:

Width = |13 - 5| = 8 ft

Therefore, the area of the rectangular piece is:

Area = 4 ft x 8 ft = 32 ft^2

To find the total area of the garden, we need to add the area of the existing garden (which is given as 20 square feet) to the area of the new rectangular piece:

Total area = 20 ft^2 + 32 ft^2 = 52 ft^2

Therefore, the total area of the garden is 52 square feet. The answer is 52 ft^2.