Question

Katelyn drew a pentagon. The side lengths are (6.7t+4.3),(-t+11), (4.8t +3),(9.7t-0.4), and (8.6t-0.2). ombine like terms to write a simplified expression for the perimeter of the pentagon

Answer 1

To find the perimeter of the pentagon with given side lengths, we need to combine like terms by adding or subtracting the coefficients of the same variable. By simplifying the expression, we get the perimeter of the pentagon as 30.8t + 17.7.

Step-by-step explanation:

To find the perimeter of the pentagon, we need to add up the side lengths. The given side lengths are (6.7t+4.3), (-t+11), (4.8t+3), (9.7t-0.4), and (8.6t-0.2).

To add these expressions, we combine like terms. Combining like terms means adding or subtracting the coefficients of the same variable. In this case, the variable is 't'.

We can simplify the expression by combining like terms:
(6.7t + 4.3) + (-t + 11) + (4.8t + 3) + (9.7t - 0.4) + (8.6t - 0.2)
= 6.7t - t + 4.3 + 11 + 4.8t + 3 + 9.7t - 0.4 + 8.6t - 0.2
= (6.7t - t + 4.8t + 9.7t + 8.6t) + (4.3 + 11 + 3 - 0.4 - 0.2)
= 30.8t + 17.7