Question

the extended lengths have the ratio 4x, 5x, 8x. if the perimeter is 153 what is the value of the longest side? 9 72 16 10 8

Explanation:

Step1: Sum the sides for perimeter

$4x + 5x + 8x = 17x$

Step2: Set equal to perimeter 153

$17x = 153$

Step3: Solve for x

$x = \frac{153}{17} = 9$

Step4: Find longest side (8x)

$8x = 8×9 = 72$

Answer:

B. 72