A gardener uses a coordinate grid to design a new garden. The gardener uses polygon WXYZ on the grid to represent the garden. Th
e vertices of this polygon are W(3,3), X(-3,3), Y(-3,-3), and Z(3,-3). Each grid unit represents one yard. What is the shape of the garden?
1 answer:
Answer:
A square
36 square yard.
Step-by-step explanation:
Given the following information:
W(3,3), X(-3,3), Y(-3,-3), and Z(3,-3)
So we need to graph those vertices and connect them in order.
(please have a look at the attached photo)
From the graph, it clear that the shape of the garden is a square.
Then, we need to calculate the length of the four sides
<u>Find the length of the side YZ. </u>
The length of side YZ = 3 + 3 = 6 yards because point Y and Z are on the same line y = -3 so we just need to find the distance between their x coordinate
<u>Find the length of the side WZ.</u>
The length of side WZ = 3 + 3 = 6 yards because point W and Z are on the same line x = 3 so we just need to find the distance between their y coordinate
=> the area of the square WXYZ:
= YZ*WZ
= 6*6
= 36 square yard.
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