A quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1) and M(-1, 2) is a square.What is the length of KL? (Round your answer to the nearest whole number.)
Question
A quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1) and M(-1, 2) is a square.
What is the length of KL? (Round your answer to the nearest whole number.)
Solution
To find the length of KL, we need to use the distance formula which is derived from the Pythagorean theorem. The distance formula is:
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Here, the coordinates of K are (-1,-4) and the coordinates of L are (-4,-1).
So, substituting these values into the formula, we get:
d = sqrt[(-4 - (-1))^2 + (-1 - (-4))^2] d = sqrt[(-3)^2 + (3)^2] d = sqrt[9 + 9] d = sqrt[18]
The square root of 18 is approximately 4.24.
Rounding to the nearest whole number, the length of KL is 4.
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