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Chapter 1: Q4. (page 52)

4. If the perimeter of 螖PQRis 3 times the length of PQ, then PR=____.

A. 4 B. 6

C. 7 D. 8

Short Answer

Expert verified

PR is 8 and the correct option isD.

Step by step solution

01

- State the definition of a variable.

A variable is a term that is used to represent an unknown value.

Here, let x be the length of PR.

02

- Evaluate the value of x.

From the diagram,

PQ=6, QR=4.

The perimeter (P) of triangle is sum of the three sides that is:

P=PQ+QR+PR.

Now perimeter is 3 times the length of PQ,

Then,

P=3脳PQ=3脳6=18

Again perimeter is:

P=PQ+QR+PR18=6+4+x18=10+x

Simplify the equation using subtraction,

18鈭�10=10+x鈭�10x=8

Thus,

PR=x=8
03

- State the conclusion.

PR is 8. Therefore, option D is correct.

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