05.05 HC) Figure ABCD has vertices A(−2, 3), B(4, 3), C(4, −2), and D(−2, 0). What is the area of Figure ABCD?
Answers
Answer:
The area of ABCD is 24 units²
Step-by-step explanation:
* Lets explain how to solve the problem
- All the point in a vertical line have the same x-coordinates
- The length of the vertical line is y2 - y1
- All the point in a horizontal line have the same y-coordinates
- The length of the horizontal line is x2 - x1
- The horizontal and the vertical lines are perpendicular to each other
- The trapezoid has two parallel bases not equal in length and the other
two sides are nonparallel sides
- The area of the trapezoid = 1/2 (sum of the two // bases) × height
* Lets solve the problem
∵ ABCD is a quadrilateral
∵ A = (-2 , 3) , B = (4 , 3) , C = (4 , -2) , D = (-2 , 0)
∵ Side AD has same x-coordinates in A and D (-2)
∴ AD is vertical side
∴ AD = 3 - 0 = 3
∵ Side BC has same x-coordinates in B and C (4)
∴ BC is vertical side
∴ BC = 3 - (-2) = 3 + 2 = 5
∵ AD and BC are vertical lines
∴ AD // BC
∵ Side AB has same y-coordinates in A and B (3)
∴ AB is horizontal side
∴ AB = 4 - (-2) = 4 + 2 = 6
∵ The horizontal and the vertical lines are perpendicular to each other
∴ AB is perpendicular on AD and BC
∵ The side CD is not vertical or horizontal
∴ ABCD has only two parallel sides AD and BC
∵ AD ≠ BC
∴ ABCD is a trapezoid
∵ The two parallel bases are AD and BC
∵ Its height is AB
∵ AD = 3 , BC = 5 , AB = 6
∴ Its area = 1/2 (3 + 5) × 6 = 1/2 (8) × 6 = 4 × 6 = 24 units²
* The area of ABCD is 24 units²
Answer:
24 square units
i did the test
Step-by-step explanation:
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A.
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B.
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please answer
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-- 946 of them make 1 quart
-- the volume of a tiny cube that's 1 centimeter along each edge
-- 16.4 of them in a little cube that's 1 inch along
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-- a perfume that cost $50 an ounce would cost $1.69 per milliliter
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B. b – n > a – n
C. b < n
D. n + b = a + c
E. 2n > a + b
Answers
since b is larger than a. we see this from the 2 last statements.
n is subtracted form both of them, so b is still larger, and b-n is larger than a-n
Final answer:
The statement that must be true is n + b = a + c.
Explanation:
The correct statement among the given options is D. n + b = a + c.
Given that n < a, c > a, and b > c, we can see that the sum of n and b must be equal to the sum of a and c. This is because n + b represents the sum of the smaller numbers, while a + c represents the sum of the larger numbers, so if n + b is not equal to a + c, then the given conditions would not hold true.
For example, let's say n = 2, a = 4, c = 6, and b = 8. In this case, n + b = 2 + 8 = 10, and a + c = 4 + 6 = 10. So, the statement n + b = a + c is true.
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