Question

The perimeter of the closed shape PQRS given below is 47 1/2 cm.


what is the length of the side QR

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

here is your answer

Step-by-step explanation:

Given:

In ΔPQR, OR = 2 × PQ - 2

And PR = PQ + 10

Formula used:

The perimeter of a triangle is the sum of all sides of the triangle

Calculation:

Let the side PQ be x cm

So,

⇒ QR = 2 × PQ - 2

⇒ QR = 2x - 2 cm

And PR is

⇒ PR = PQ +10

⇒ PR = x + 10 cm

The perimeter of the ΔPQR is

⇒ 2x - 2 + x + x + 10 = 40

⇒ 4x = 32 - 8

⇒ x = 8 cm

⇒ PQ = 8 cm

⇒ QR = 2 × 8 - 2 = 14 cm

⇒ PR = 8 + 10 = 18 cm

∴ PQ is the smallest side of the ΔPQR.