A triangle has side lengths of (1.9x + 6.2y) centimeters, (2.5x + 8.3w) centimeters, and (1.6w - 5.1y) centimeters.

PART A:

Write an expression that represents the perimeter, in centimeters, of the triangle.

Show all work.

PART B:

Write an equivalent expression to represent the perimeter from PART A. by factoring out the greatest common factor.

Show all work.

IF ANSWER BOTH I WILL GIVE BRAINIEST

Question

Today at 10:38 AM
Mathematics

Answered

A triangle has side lengths of (1.9x + 6.2y) centimeters, (2.5x + 8.3w) centimeters, and (1.6w - 5.1y) centimeters.

PART A:

Write an expression that represents the perimeter, in centimeters, of the triangle.

Show all work.

PART B:

Write an equivalent expression to represent the perimeter from PART A. by factoring out the greatest common factor.

Show all work.

IF ANSWER BOTH I WILL GIVE BRAINIEST

Answer :

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jimrgrant1 jimrgrant1 · Answer 1 · 2025-03-23T10:43:05-04:00

jimrgrant1 jimrgrant1

Today at 10:43 AM

Answer:

see explanation

Step-by-step explanation:

A

The perimeter is the sum of the 3 sides, thus summing the 3 sides

1.9x + 6.2y + 2.5x + 8.3w + 1.6w - 5.1y ← combine like terms

= 4.4x + 1.1y + 9.9w ← expression for perimeter

B

Factor out 1.1 from each term, thus

4.4x + 1.1y + 9.9w

= 1.1(4x + y + 9w) ← perimeter in factored form

Answer Link

eudora eudora · Answer 2 · 2025-03-23T10:42:38-04:00

Answer:

Step-by-step explanation:

Part A : Since sides of triangle are ( 1.9x + 6.2y )cm

(2.5x + 8.3w)cm and (1.6w - 5.1y)cm.

Now perimeter of a triangle = sum of all sides length

Perimeter = (1.9x + 6.2y) + (2.5x + 8.3w) + (1.6w - 5.1y)

= (1.9x + 2.5x) + (6.2y - 5.1y) + (8.3w + 1.6w)

[ collecting the like terms together ]

Perimeter = 4.4x + 1.1y + 9.9w

Part B : Now we factorize the term for perimeter given in part A.

Perimeter = 1.1 (4x + y + 9w)

So equivalent factor will be (1.1 (4x + y + 9w).