Question

Check?
Mrs. Stewart bought a rectangular plot of land. On a map, the coordinates of the vertices are (6, 0), (12, 3), (11, 5), and (5, 2).

Each square unit on the map represents 4 acres. Mrs. Stewart purchased the land for $41,280.

What was the price per acre?

$ _________

645?

Answer 1

@Nnesha @Michele_Laino @bibby

Answer 2

we have to compute the base and the height of your rectangle

Answer 3

the base is given by the distance between the points (6,0) and (12,3):
\[base = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \sqrt {{{\left( {12 - 6} \right)}^2} + {{\left( {3 - 0} \right)}^2}} = ...?\]

Answer 4

√45?

Answer 5

Still need help? 0.0

Answer 6

yes please im not sure if @Michele_Laino is here anymore. @Here_to_Help15

Answer 7

ok!
now the height of your triangle is the distance between teh points (5,2) and (6,0):

\[height = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \sqrt {{{\left( {5 - 6} \right)}^2} + {{\left( {2 - 0} \right)}^2}} = ...?\]

Answer 8

hint:
\[\begin{gathered}
height = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \sqrt {{{\left( {5 - 6} \right)}^2} + {{\left( {2 - 0} \right)}^2}} = \hfill \\
= \sqrt {1 + 4} = ...? \hfill \\
\end{gathered} \]

Answer 9

5 Sorry, i had to leave for a sec. c:

Answer 10

lol ima ask again do you still need help?

Answer 11

yes

Answer 12

we have:
height=sqrt(5)
so the area is:
\[\Large area = \sqrt {45} \times \sqrt 5 = \sqrt {225} = ...?\]

Answer 13

15 he just solved it for you : )

Answer 14

ok! :)

Answer 15

so we have
numbers of acres = 15*4=...?

Answer 16

oops..number*

Answer 17

60?

Answer 18

that's right!

Answer 19

So 60 is the answer?

Answer 20

no, since we have to compute the price per acre. Now that price per acre is:
41280/60=...?

Answer 21

688?

Answer 22

that's right!

Answer 23

Thank you. c;

Answer 24

Thank you! :)