Question

What is the perimeter of trapezoid JKLM?


+ units
2 + + units
9 + units
9 + + units

answer is D

Answer 1

For the perimiter of the trapezoid you need the length of all four sides, and as the left and right sides are diagonal you use the pythagorean thereom to solve for them. This theorem is a^2+b^2=c^2 as a is vertical, b is horizontal, and c is the diagonal. so for the right side we have 1^2+2^2=c^2 so c^2=5 and c=sqrt(5). for the left side we have 1^2 + 1^2 = c^2 so c = sqrt(2) so we take the top, 3, the bottom, 6, and the sides, sqrt(2) and 5, and add them to get 9 + sqrt(2) + sqrt(5) so D

Answer 2

Perimeter is the sum of the length of the sides used to make the given figure. The correct option is D.

What is the perimeter?

Perimeter is the sum of the length of the sides used to make the given figure.

The length of the different sides of the trapezoid can be written as,

JK = 3 units

KL = √(2² + 1²) = √5 units

LM = 6 units

JM = √(1² + 1²) = √2 units

Now, the perimeter of the  trapezoid JKLM is,

Perimeter JKLM = 3 + √5 + 6 + √2 = (9 + √5 + √2) units

Hence, the perimeter of the trapezoid JKLM is (9 + √5 + √2) units.

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