In rectangle KLMN, KM = 8x+20 and LN = 52. Find the value of x.
In a rectangle, opposite sides are congruent. Therefore, KM = LN.
Given that KM = 8x + 20 and LN = 52, we can set up the equation:
8x + 20 = 52
Subtract 20 from both sides:
8x = 52 - 20
8x = 32
Divide both sides by 8:
x = 32/8
x = 4
Therefore, the value of x is 4.