Help Plz
@conner143
hey can you help me with like 15 questions plz?
the first one is \[\sqrt{85}\] again
\[\sqrt{162}\] is the second one
@Michele_Laino
we have to compute the base and the height of your rectangle
I have a lot of questions...so you can just give me the answers
I'm sorry, I can not give you the answer directly, since I have to respect the Code of Conduct
ok, how do we compute the height and the base of the rectangle?
the base of your triangle is given by the distance between points (-1,-3) and (1,3) such distance is: \[\begin{gathered} d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \sqrt {{{\left( { - 1 - 1} \right)}^2} + {{\left( { - 3 - 3} \right)}^2}} = \hfill \\ = \sqrt {4 + 36} = ...? \hfill \\ \end{gathered} \]
whereas the height, is given by the distance between the points (1,3) and (-2,4) \[\begin{gathered} d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \sqrt {{{\left( { - 2 - 1} \right)}^2} + {{\left( {4 - 3} \right)}^2}} = \hfill \\ = \sqrt {9 + 1} = ...? \hfill \\ \end{gathered} \]
40, 10?
base=sqrt(40) height=sqrt(10) so: area is: \[area = \sqrt {40} \times \sqrt {10} = \sqrt {400} = ...?\]
20
that's right!
here the area of your polygon, is equal to area of the rectangle TSPG plus area of triangle PSE
now area of rectangle TSPG = 7*5=...?
35
ok! and area of triangle PSE= (7*2)/2=...?
7
ok! so the requested area = 35+7=...?
42
that's right!
here we have to break your polygon into one parallelogram, and 3 triangles, like below: |dw:1429637016712:dw|
area of parallelogram = 6*3=...?
18
ok! area of triangle 2=(3*1)/2=...?
1.5
ok! area of triangle 3= (4*3)/2=...?
6
ok! area of triangle 4 = (6*3)/2=...?
9
ok! so the area of your polygon is: area = 18+1.5+6+9=...?
34.5
that's right!
here, we to compute the base and the height of your rectangle. Now the base of your rectangle is given by the distance between the points (1,2) and (5,0), so we have: \[\begin{gathered} base = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \sqrt {{{\left( {5 - 1} \right)}^2} + {{\left( {0 - 2} \right)}^2}} = \hfill \\ = \sqrt {16 + 4} = ...? \hfill \\ \end{gathered} \]
20=4.47
whereas the height is given by the distance between points (1,2) and (2,4), namely: \[\begin{gathered} height = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \sqrt {{{\left( {2 - 1} \right)}^2} + {{\left( {4 - 2} \right)}^2}} = \hfill \\ = \sqrt {1 + 4} = ...? \hfill \\ \end{gathered} \]
better is base = sqrt(20)
square root of 5
ok! so area is: \[area = \sqrt {20} \times \sqrt 5 = \sqrt {100} = ...?\]
10
ok! so we have: number of acres = 9*10=...?
90
ok! so the price per acre is: 423000/90=...?
4,700
that's right!
here is your triangle: |dw:1429638315642:dw|
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