In rectangle MNPQ with side MN = 16 in, point L is the midpoint of PQ and m∠QLM = 45°. Find the perimeter of the rectangle.

Mathematics

1 answer:

Marina86 [1]3 years ago

7 0

See the attached figure

we know that
MN=16 in-------------> PQ=MN
PQ=16 in
<span>L is the midpoint of PQ-----------> distance QL=</span><span>PQ/2
QL=8 in
if </span>m∠QLM = 45°
then
MQ=QL
MQ=8 in

Perimeter=[MN]*2+[MQ]*2=16*2+8*2=48 in

the answer is 48 in

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