Question

In rectangle KLMN, KM=6x+16, and LN=49. Find the value of x.

A) 13.7
B) 10.1
C) 49.0
D) 5.5

Answer 1

6x + 16 = 49
= 6x = 49 - 16
= 6x = 33
x = 33 ÷6
= 5.5

Answer 2

Option D - The value of x is 5.5.

Step-by-step explanation:

Given : In rectangle KLMN, KM=6x+16, and LN=49.

To Find : The value of x ?

Solution :

In rectangle KLMN,

KM and LN area the diagonals of the rectangle.

We know diagonals of rectangles area equal.

So, KM=LN

i.e. $6x+16=49$

$6x=49-16$

$6x=33$

$x=\frac{33}{6}$

$x=\frac{11}{2}$

$x=5.5$

Therefore, the value of x is 5.5.

So, option D is correct.

#Learn more

In rectangle KLMN, KM = 10x + 24 and LN = 64. Find the value of x.

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