Question

What is the perimeter of a triangle with the given side lengths? s1 = x + 4 cm s2 = 3x + 1 cm s3 = 7x + 3 cm P = x + cm

Answer 1

P = 11x + 8 cm

Explanation:

The perimeter of a triangle is the sum of the lengths of the three sides.

... P = s1 + s2 + s3

... P = (x +4 cm) +(3x +1 cm) +(7x +3 cm) . . . . substitute for s1, s2, s3

... P = x(1 +3 +7) + cm(4 + 1 + 3) . . . . . . collect terms

... P = 11x + 8 cm

Answer 2

11x+8 cm = Perimeter

Explanation:

A triangle has 3 sides. We add up all three sides to get the perimeter.

s1+s2+s3 = Perimeter

(x+4) +( 3x+1) + (7x+3) = Perimeter

Combine like terms

11x+8 = Perimeter