Knowee
Questions
Features
Study Tools

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.)

🧐 Not the exact question you are looking for?Go ask a question

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.

This problem has been solved

Similar Questions

A quadrilateral with vertices K(0,4), A(3,6), T(6,2) and E(0,-2) is a ________.Question 12Select one:a.kiteb.trapezoidc.parallelogramd.square

A quadrilateral with vertices K(0,4), A(3,6), T(6,2) and E(0,-2) is a ________.

The vertices of quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). The quadrilateral is a Blank 1 Question 46

The pentagons ABCDE and JKLMN are similar.Find the length x of KL.CAB32435DELJK3.62.44.83.6xMN=x

Given the set of vertices: Q(–2, –1), R(–1, 2), S(4, 1), T(3, –2), the quadrilateral is a rhombus.

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.