SOLUTION: how would you find the perimeter and area of a shape with the coordinates (-3,4), (1,5), (2,1), and (-2,0)? HELP ME PLEEAASEEE!!!!!!

Algebra.Com
Question 926884: how would you find the perimeter and area of a shape with the coordinates (-3,4), (1,5), (2,1), and (-2,0)?
HELP ME PLEEAASEEE!!!!!!

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
(-3,4),
(1,5), D =
(2,1), D =
(-2,0) D =
square: s = √17
P = 4√17
A = 17 units^2


Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

plot points:

find the distance:
Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (-2, 0), we can say (x1, y1) = (-2, 0)
So ,


Since the second point is (-3, 4), we can also say (x2, y2) = (-3, 4)
So ,


Put this all together to get: , , , and

--------------------------------------------------------------------------------------------


Now use the distance formula to find the distance between the two points (-2, 0) and (-3, 4)






Plug in , , , and
















==========================================================

Answer:


The distance between the two points (-2, 0) and (-3, 4) is exactly units


The approximate distance between the two points is about 4.12310562561766 units



So again,


Exact Distance: units


Approximate Distance: units





Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (1, 5), we can say (x1, y1) = (1, 5)
So ,


Since the second point is (-3, 4), we can also say (x2, y2) = (-3, 4)
So ,


Put this all together to get: , , , and

--------------------------------------------------------------------------------------------


Now use the distance formula to find the distance between the two points (1, 5) and (-3, 4)






Plug in , , , and
















==========================================================

Answer:


The distance between the two points (1, 5) and (-3, 4) is exactly units


The approximate distance between the two points is about 4.12310562561766 units



So again,


Exact Distance: units


Approximate Distance: units





Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (1, 5), we can say (x1, y1) = (1, 5)
So ,


Since the second point is (2, 1), we can also say (x2, y2) = (2, 1)
So ,


Put this all together to get: , , , and

--------------------------------------------------------------------------------------------


Now use the distance formula to find the distance between the two points (1, 5) and (2, 1)






Plug in , , , and













==========================================================

Answer:


The distance between the two points (1, 5) and (2, 1) is exactly units


The approximate distance between the two points is about 4.12310562561766 units



So again,


Exact Distance: units


Approximate Distance: units




Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (-2, 0), we can say (x1, y1) = (-2, 0)
So ,


Since the second point is (2, 1), we can also say (x2, y2) = (2, 1)
So ,


Put this all together to get: , , , and

--------------------------------------------------------------------------------------------


Now use the distance formula to find the distance between the two points (-2, 0) and (2, 1)






Plug in , , , and













==========================================================

Answer:


The distance between the two points (-2, 0) and (2, 1) is exactly units


The approximate distance between the two points is about 4.12310562561766 units



So again,


Exact Distance: units


Approximate Distance: units




since all same, means you have a square;
so, the perimeter will be
and area





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