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Find the length of AB

Find the length of AB-example-1
User Manto
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1 Answer

7 votes

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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User Parkerproject
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