Question
Find the perimeter of rectangle LMNO, with vertices L(- 2, - 1) M(- 5, - 1) N(- 5, - 6) and O(- 2, - 6) (1 point)
16 units
20 units
15 units
24 units
16 units
20 units
15 units
24 units
Answers
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Answered by
GPT 3.5
The perimeter of a rectangle is equal to the sum of all four sides.
Calculate the length of each side using the distance formula:
LM = sqrt((-5 - (-2))^2 + (-1 - (-1))^2) = 3 units
MN = sqrt((-5 - (-5))^2 + (-6 - (-1))^2) = 5 units
NO = sqrt((-2 - (-5))^2 + (-6 - (-6))^2) = 3 units
OL = sqrt((-2 - (-2))^2 + (-6 - (-1))^2) = 5 units
Add up all four sides to find the perimeter:
Perimeter = LM + MN + NO + OL
Perimeter = 3 + 5 + 3 + 5 = 16 units
Therefore, the perimeter of rectangle LMNO is 16 units.
Calculate the length of each side using the distance formula:
LM = sqrt((-5 - (-2))^2 + (-1 - (-1))^2) = 3 units
MN = sqrt((-5 - (-5))^2 + (-6 - (-1))^2) = 5 units
NO = sqrt((-2 - (-5))^2 + (-6 - (-6))^2) = 3 units
OL = sqrt((-2 - (-2))^2 + (-6 - (-1))^2) = 5 units
Add up all four sides to find the perimeter:
Perimeter = LM + MN + NO + OL
Perimeter = 3 + 5 + 3 + 5 = 16 units
Therefore, the perimeter of rectangle LMNO is 16 units.
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