AB = 15, AC = 14, BC = 8
PQ = 8 , QR = 24, PR = 8
The perimeter is the distance around the object. For example, your house has a fenced yard. The perimeter is the length of the fence. If the yard is 50 ft × 50 ft your fence is 200 ft long.
Perimeter of Δ ABC = Length of AB + Length of BC + Length of AC.
Perimeter of ΔABC = (2x + 7) + (2x) + (2x + 6) = 6x + 13
Perimeter of ΔPQR = (2x) + (3x + 9) + (2x) = 7x + 9
So, 6x + 13 = 7x + 9
Therefore, x = 4
AB = 2(4) + 7 = 15 PQ = 2(4) = 8
AC = 2(4)+6 = 14 QR = 3(5) + 9 = 24
BC = 2(4) = 8 PR = 2(4) = 8
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