A triangle has side lengths of (2u-4v)(2u−4v) centimeters, (10u+2w)(10u+2w) centimeters, and (w-7v)(w−7v) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer:

3w−11v+12u

Step-by-step explanation:

2u−4v+10u+2w+w−7v

2u-4v+10u+2w+1w-7v

2u−4v+10u+2w+1w−7v

2u+10u−4v−7v+2w+1w

2u+10u −4v−7v +2w+1w

^12u         ^-11v     ^3w

12u -11v+3w

3w−11v+12u

​

The perimeter of the triangle is represented by the expression 3w−11v+12u.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees. The perimeter of the triangle is defined as the sum of all the sides of the triangle.

Given that a triangle has side lengths of (2u-4v)(2u−4v) centimeters, (10u+2w)(10u+2w) centimeters, and (w-7v)(w−7v) centimeters. The perimeter of the triangle is calculated by adding all the sides of the triangle.

E = 2u−4v+10u+2w+w−7v

E = 2u-4v+10u+2w+1w-7v

E = 2u−4v+10u+2w+1w−7v

E = 2u+10u−4v−7v+2w+1w

E = 2u+10u −4v−7v +2w+1w

E = 12u -11v+3w

E = 3w−11v+12u

Therefore, the perimeter of the triangle is represented by the expression 3w−11v+12u.

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