Answer:
8.5 cm
Explanation:
You want to know the length of AB in rectangle ABCD with perimeter 26 cm if BC = PQ, QR = 10 cm, and the area of rectangle PQRS is 45 cm².
PQ
The area of rectangle PQRS is ...
Area = PQ·QR
45 cm² = PQ·(10 cm)
PQ = (45 cm²)/(10 cm) = 4.5 cm
AB
The perimeter of rectangle ABCD is ...
Perimeter = 2(AB +BC)
26 cm = 2(AB +4.5 cm) . . . . . . . . BC = PQ = 4.5 cm
13 cm = AB +4.5 cm . . . . . divide by 2
8.5 cm = AB . . . . . . . . subtract 4.5 cm
The length of AB is 8.5 cm.
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