The perimeter of a square is 24.46 inches. What is the side length of the square?
2 answers:
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Answer: The correct option is (D) 36.
Step-by-step explanation: We are given to find the value of 'y' that would make OP parallel to LN.
MO = 28 units, OL= 14 units, Pl = 18 units and MP = y = ?
From the figure, we have
if OP ║ LN, then we must have
∠MOP = ∠MLN
and
∠MPO = ∠MNL.
Since ∠M is common to both the triangles MOP and MLN, so by AAA postulate, we get
ΔMOP similar to ΔMLN.
We know that the corresponding sides of two similar triangles are proportional, so
Thus, the required value of 'y' is 36.
(D) is the correct option.
