Question

Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR. Round your answer to the nearest tenth if necessary.
L
M
N
O
P
Q
R
the numbers are 56 37 and 23

Answer 1

If LM corresponds to PQ, then the scale factor from LMNO to PQRS is PQ/LM = 37/56. The side MN corresponds to QR, so

QR = MN × (37/56) = 23 × (37/56) = 851/56 ≈ 15.2.

So QR ≈ 15.2.