Question

Step It Out20162 Alyssa draws a plan for a rectangular garden.Each unit represents 1 foot. She places threevertices of the garden at (12, 12), (18, 12), and(18, 4). Find the location of the fourth vertex andthe perimeter of the garden.A. Plot the vertices (12, 12), (18, 12), and (18, 4) onthe coordinate grid.12y-axis84B. What is the x-coordinate of the fourth vertex?Explain how you know.042.8 12 16x-axis

Answer 1

(A).

The sketch of Alyssa's rectangular garden is shown above, from which we see that the location of the fourth vertex is (12,4).

The perimeter of the garden is the length around it and it is:

$perimeter=\lbrack(12-4)\times2\rbrack+\lbrack(18-12)\times2\rbrack$$\therefore perimeter=28\text{.}$

(B). As we can see from the coordinates of the fourth vertex, its x-coordinate is 12.