A triangle has side lengths of (1.3 w-9.9) centimeters, (3.6 w+7.2) centimeters, and (5.9 x-2.8) centimeters. Which expression represents the perimeter, in centimeters, of the triangle? -8.6 w+3.1 x+10.8 -5.5+4.9 w+5.9 x 3.1 x+2.2 w -2.7+4.9 w+3.1 x

Question

A triangle has side lengths of  (1.3 w-9.9) centimeters,  (3.6 w+7.2) centimeters, and  (5.9 x-2.8) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?  -8.6 w+3.1 x+10.8  -5.5+4.9 w+5.9 x  3.1 x+2.2 w  -2.7+4.9 w+3.1 x

Bytelearn · Accepted Answer

Identify first side length: To find the perimeter of the triangle, we need to add the lengths of all three sides together. The first side length is given as (1.3w - 9.9) centimeters.Identify second side length: The second side length is given as (3.6w + 7.2) centimeters. We will add this to the first side length.Identify third side length: The third side length is given as (5.9x - 2.8) centimeters. We will add this to the sum of the first two side lengths to get the perimeter.Add all side lengths: Now, we add all the side lengths together: (1.3w - 9.9) + (3.6w + 7.2) + (5.9x - 2.8).Combine like terms: Combine like terms: (1.3w + 3.6w) + (5.9x) + (-9.9 + 7.2 - 2.8).Simplify coefficients and constants: Simplify the coefficients of w and the constants: (1.3w + 3.6w) = 4.9w and (-9.9 + 7.2 - 2.8) = -5.5.Final expression for perimeter: The expression for the perimeter is now: 4.9w + 5.9x - 5.5.

Full solution

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