SOLUTION: what is the area in square units of a rectangle with vertices (-2,5),(3,5),(3,-1)(-2,-1)

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Question 671813: what is the area in square units of a rectangle with vertices (-2,5),(3,5),(3,-1)(-2,-1)
Answer by MathLover1(20850) About Me  (Show Source):
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a rectangle with vertices (-2,5),(3,5),(3,-1)(-2,-1)

find the distance between points to get the length and the width of a rectangle
for: (3,-1)(-2,-1)
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%28-2-3%29%5E2+%2B+%28-1--1%29%5E2%29=+5+


For more on this concept, refer to Distance formula.


for: (-2,5),(-2,-1)
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%28-2--2%29%5E2+%2B+%285--1%29%5E2%29=+6+


For more on this concept, refer to Distance formula.



so,the length is a=6 units and the width is b=5 units

then, the area is A=ab=5%2A6=30 square units