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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 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?

10 ft2
55 ft2
225 ft2
450 ft2

User Mat Ryer
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1 Answer

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Answer:1) So, to find the area of a rectangle, you need to find the width and length and multiply them together. If you wish for a visual interpretation, you can plot the points and count out the length and width. However, you can also solve this without using a graph. Note, from the first point, (-21,7) to the second point (-23,7) the only change is the X factor by a measure of 2. So our width is 2. From the second point (-23,7) to the fourth point (-23,12) the change is in the y factor by a measure of 5. So our length is 5. You use the 4th point because you want the non measured factor to be the same when measuring length and width. So you have a length of 5 and a width of 2 to get 10 square feet added or 55 square feet total.

Explanation:

User Nvanesch
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