A triangle has side lengths of (3.6 d-7.8 f) centimeters, (8.2 d+7.9 g) centimeters, and (7.7 g+1.6 f) centimeters. Which expression represents the perimeter, in centimeters, of the triangle? 16.1 dg+9.3 fg-4.2 df -6.2 f+11.8 d+15.6 g 0.1 f+9.3 g+11.8 d 1.7 fg+19.5 dg

Question

A triangle has side lengths of  (3.6 d-7.8 f) centimeters,  (8.2 d+7.9 g) centimeters, and  (7.7 g+1.6 f) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?  16.1 dg+9.3 fg-4.2 df  -6.2 f+11.8 d+15.6 g  0.1 f+9.3 g+11.8 d  1.7 fg+19.5 dg

Bytelearn · Accepted Answer

Add Side Lengths: To find the perimeter of the triangle, we need to add up the lengths of all three sides.Perimeter Equation: The perimeter (P) is given by the equation P = side1 + side2 + side3.Substitute Given Lengths: Substitute the given side lengths into the perimeter equation: P = (3.6 d - 7.8 f) + (8.2 d + 7.9 g) + (7.7 g + 1.6 f)Combine Like Terms: Combine like terms to simplify the expression: P = (3.6 d + 8.2 d) + (-7.8 f + 1.6 f) + (7.9 g + 7.7 g)Perform Addition: Perform the addition for each type of term: P = (3.6 d + 8.2 d) + (-7.8 f + 1.6 f) + (7.9 g + 7.7 g) P = (11.8 d) + (-6.2 f) + (15.6 g)Final Perimeter Expression: Write the final expression for the perimeter: P = 11.8 d - 6.2 f + 15.6 g

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