Question

In a given triangle, the largest side is 3 less than twice the length of the smaller side. The other side (that is not the smallest or largest) is 6 units longer than the shortest side. Write an expression that represents the perimeter of the triangle if x represents the length of the smallest side. (hint: label all three sides)

A: 6x – 12

B: 4x + 3

C: 3x^2 – 4x + 1

D: 3x + 6

Answer 1

Option B: 4x + 3

Explanation:

Let

x ----> the length of the smallest side

y ----> the length of the largest side

z ----> the length of the other side

we know that

The perimeter of triangle is the sum of its three length sides

`P=x+y+z` ----> equation A

we have that

`y=2x-3` ----> equation B

`z=x+6` ----> equation C

substitute equation B and equation C in equation A

`P=x+(2x-3)+(x+6)`

`P=4x+3`