Question

The perimeter of quadrilateral JKLM is 90 centimeters. Which is the length of side Kl?

Answer 1

Answer:  The correct option is

(D) 13.

Step-by-step explanation: Given that the perimeter of quadrilateral JKLM is 90 centimeters.

We are to find the length of side KL.

From the figure, we note that the lengths of the sides of quadrilateral JKLM are

JK = n+7, KL = n, LM = 2n-12  and  JM = 3n+4.

We know that the perimeter of any quadrilateral is equal to the sum of the lengths of its four sides.

Therefore, in quadrilateral JKLM, we have

$JK+KL+LM+JM=90\\\\\Rightarrow n+7+n+2n-12+3n+4=90\\\\\Rightarrow 7n-1=90\\\\\Rightarrow 7n=91\\\\\Rightarrow n=\dfrac{91}{7}\\\\\Rightarrow n=13.$

So, the length of side KL = n = 13.

Thus, the required length of the side KL is 13 cm.

Option (D) is CORRECT.

Answer 2

It would be 16.5. hope this helps