The vertices of a polygon are (12, 24), (27, 24), (30, 12), and (6, 12). Find the area of the polygon.
1 answer:
Answer:
234
Step-by-step explanation:
A(12, 24), B(27, 24), C(30, 12), and D(6, 12)
A and B have same y value of 24, AB // x axis
C and D have same y value of 12, CD // x axis
AB // CD
AB distance = 27 - 12 = 15
CD length = 30 - 6 = 24
AB ≠ CD ABCD is a trapezoid
Area of trapezoid: (upper base + lower base) x height / 2
height = y difference of A and D or B and C 24 -12 = 12
Area = (15 + 24) x 12 / 2 = 39 x 12 / 2 = 234
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(A) Lets make a table
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y axis represents the packs of printer paper used
x y
days packs of printer paper used
0 0 (0 days , 0 packs used)
80 140 (in 80 days , 140 packs paper used)
The graph is attached below
(B) To find Equation of a line we use points (0,0) and (80,140)
y intecept is (0,0)
so b= 4
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m is the slope and b is the y intercept
So slope intercept form of line becomes
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Multiply both sides by 4
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-7x + 4y =0 is the standard form
(c) To find packs of printer paper the manager expect to have after 30 days, Plug in 30 for x and find out y
Total 140 packs of printer paper
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Packs of paper remaining after 30 days = 140- 52.5= 87.5
