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Alexus [3.1K]
3 years ago
11

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?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

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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3 years ago
Find the dimensions of a rectangle with perimeter 112 m whose area is as large as possible. step 1 if a rectangle has dimensions
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Please use the solution below:
Let P = perimeter, A = area
As provided above, a = xy and 
We know that the formula to solve for the perimeter of a rectangle is P = 2x + 2y. Using the given 112m, we can solve the perimeter using the formula:
112 = 2x + 2y
56 = x + y

x = 56-y or y = 56-x
Let's solve the perimeter in terms of y using the formula below:
A = (56-y)(y)
Find the derivative of A = 56-y^2 to get the value of y.
dA/dy = 56-2y = 0
y = 56/2
y = 28
To find X, substitute the value of y in the equation x = 56 - y. 
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Therefore, x = 28.
We can conclude that the figure is not a rectangle but a square.
7 0
3 years ago
Plzzz help I would really appreciate it !!!!
Elena L [17]
Wait I got this too lol I’m looking for the answer too
5 0
3 years ago
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