A triangle has side lengths of (2.3r−8.2s) centimeters, (7.6r+2.8t) centimeters, and (1.5t−2.5s) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?10.4rt−st−5.9rs9.9r−10.7s+4.3t9.9r−6.7s+0.3t11.4rt−7.9st
Q. A triangle has side lengths of (2.3r−8.2s) centimeters, (7.6r+2.8t) centimeters, and (1.5t−2.5s) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?10.4rt−st−5.9rs9.9r−10.7s+4.3t9.9r−6.7s+0.3t11.4rt−7.9st
Calculate Perimeter: To find the perimeter of the triangle, we need to add the lengths of all three sides together. Perimeter = (2.3r−8.2s)+(7.6r+2.8t)+(1.5t−2.5s)
Combine Like Terms: Combine like terms by adding the coefficients of r, s, and t respectively.Perimeter = (2.3r+7.6r)+(−8.2s−2.5s)+(2.8t+1.5t)Perimeter = 9.9r−10.7s+4.3t
Match with Answer Choices: Check the answer choices to see which one matches the calculated perimeter.The correct expression that matches our calculation is 9.9r−10.7s+4.3t.
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