Find the perimeter and the area of the polygon with the given vertices. W (11,2), X (11,8), Y (14,8), Z (14,2)
Answers
Answer:
The perimeter of the polygon = 18 units
The area of the polygon will be square units
Step-by-step explanation:
Computing the Perimeter of the Polygon:
Considering the polygon with vertices
- W (11,2)
- X (11,8)
- Y (14,8)
- Z (14,2)
As the polygon is drawn in coordinate plane as shown in figure a.
From the attached figure a, we can observe that
- The length of the side
units
- The length of the side
units
- The length of the side
units
- The length of the side
units
So, the perimeter of the polygon can be calculated by taking the sum of the lengths of all sides i.e.
The perimeter of the polygon =
= 3 + 6 + 6 + 3
= 18 units
Computing the Area of the Polygon:
Area can be calculated by multiplying the length and width of the polygon.
So, the area will be:
Therefore, the area of the polygon will be square units
Keywords: area, perimeter, polygon
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X
1) subtract 2y on each side => 4x = 1500 - 2y
2) divide by 4 => x = (1500-2y)/4
Y
1) subtract 4x on each side => 2y = 1500 - 4x
2) divide by 2 => y = (1500 - 4x)/2
Final answer:
The equation 4x + 2y = 1,500 refers to a zoo with two- and four-legged animals. The x-intercept at x = 375 represents the scenario with only four-legged animals, while y-intercept at y = 750 refers to the situation with only two-legged animals.
Explanation:
In the equation 4x + 2y = 1,500, 'x' stands for the number of four-legged animals and 'y' stands for the number of two-legged animals. The x-intercept is the value of 'x' when 'y' is zero, and the y-intercept is the value of 'y' when 'x' is zero. This can be calculated by setting the other variable to zero and solving for the remaining variable. For the x-intercept, when y=0, the equation becomes 4x = 1,500. Solving this gives x = 375. This implies that if there were no two-legged animals, there would be 375 four-legged animals. Similarly, for the y-intercept, when x=0, the equation becomes 2y = 1,500. Solving this gives y = 750, implying that if there were no four-legged animals, there would be 750 two-legged animals.
Learn more about Interpreting intercepts here:
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428 ft2
B.
560 ft2
C.
632 ft2
D.
888 ft2
Answers
We will start with the front facing side. We can break this up into an 8ft x 8ft square, and a 14ft x 6ft rectangle. The area equals:
8ft x 8ft + 14ft x 6ft = 148ft^2
The front facing is the same area as is back facing counterpart so we can multiply the surface area by 2:
148ft^2 x 2 = 296f^2
Adding the bottom surface area 6ft x 14ft:
6ft x 14ft + 296ft^2 = 380ft^2
Adding the right side 6ft x 14ft:
6ft x 14ft + 380ft^2 = 464ft^2
Adding the left side 8ft x 6ft:
8ft x 6ft + 464ft^2 = 512ft^2
Adding the 3 sides on the top 8ft x 6ft (top facing), 6ft x 6ft (top facing), and 6ft x 6ft (left facing):
8ft x 6ft + 512ft^2 = 560ft^2
6ft x 6ft + 560ft^2 = 596ft^2
6ft x 6ft + 596ft^2 = 632ft^2
Therefore the answer is C, 632 ft^2.
Answers
Answers
Answer:
x is 100 degrees because vertical angles are congruent
Answers
8. Subtract 5.52 from both sides to get the variable on one side. (f=5)
9. Add 3.77 to both sides so the variable will be on one side.
10. Add 10.58 to both sides.
11. Divide by 2.2 on both sides. 2.2b/2.2 will leave you with the variable b. 8.8/2.2=4; b=4.
12. Divide by 2.5b on both sides. 2.5b/2.5 leaves b. 10/2.5= 4; b=4.
f=1
8) minus 5.52 from both sides to get
f=5
9) add 3.77 to both sides to get
f=11.1
10) add 10.58 to both sides to get
f= 21
11) divide both sides by 2.2 to get
b=4
12) divide both sides by 2.5 to get
b=4
hope this helps!
Answers
If you're looking for perimeter, thats how long the shape is on the outside. To find the perimeter, add your base and your height and multiply it by two. For us, height is 10, and base is 2. 10+2x2= 24.
To find area, you have to multiply the base times the height. 10x2= 20
The area is 20 units squared and the perimeter is 24 units.