Question

6. The perimeter of the figure below is equal to 150 cm. What is the length of the longest

Answer 1

Answer: 29 centimeters long

Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)

Answer 2

We know that the polygon is a six side shape because there is 6 measurements

Perimeter: all sides added

First add the given numbers
6+4+5+8+1=24

Then subtract that number from answer
150cm-24cm=126cm

Divide that by the amount of numbers
126/6=21

That means ’x’ is 21
Now you have;
21(x)
27(x+6)
25(x+4)
26(x+5)
29(x+8)
22(x+1)

Make sure they all add to 150
21+27+25+26+29+22=150cm

To find the longest side you look and the largest number which is 29

LONGEST SIDE= x+8