Question

The coordinates of quadrilateral jklm plotted on a coordinate plane are j(-2,3), k(3,7), l(6,5) and m(1,1).
enter a number in the box to complete the sentence.he perimeter of the quadrilateral is 90units. round your answer to the nearest tenth.

Answer 1

The perimeter of quadrilateral JKLM with the given coordinates is approximately 20.0 units.

What is the Perimeter of a Quadrilateral?

Perimeter of a quadrilateral = sum of all four sides of the quadrilateral.

Given the coordinates of quadrilateral JKLM as:

• J(-2,3)
• K(3,7)
• L(6,5)
• M(1,1)

Use the distance formula, $d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}$, to find each segment of the quadrilateral .

JK = √[(3−(−2))² + (7−3)²]

JK = √41

JK ≈ 6.4 units

KL = √[(3−6)² + (7−5)²]

KL = √13

KL ≈ 3.6 units

LM = √(1−6)² +(1−5)²]

LM = √41

LM ≈ 6.4 units

JM = √(1−(−2))² + (1−3)²]

JM = √13

JM ≈ 3.6 units

Perimeter of quadrilateral JKLM = 6.4 + 3.6 + 6.4 + 3.6 = 20 units.

Learn more about the perimeter of a quadrilateral on:

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