The picture shows square JKLM and the dimension of rectangle RSTU. If the perimeters of these two quadrilaterals are equivalent, what is the length of line segment JK?

Question

picture: http://prntscr.com/jj3wza

Options:

a. 24

b. 12

c. 6

d. 3

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Answer 1 · 2018-05-17T15:02:17

#color(blue)(C)#

enter image source here

The perimeter of the rectangle is the sum of all its sides:

#5+5+7+7=24#

The square has equal sides and its perimeter is also 24.

All we need to do is divide the number of sides of the square into the perimeter:

#24/4=6#

So:

#JK=6 color(white)(888)#units

So the answer is C.