Let's first write an expression for the perimeter of each triangle in simplest form:
Let A = 23X + 4
Let B = 8X + 9
Let C = X - 3
Let D = X + 7
Let E = 3X - 4
Let F = X + 5
Perimeter of Triangle 1 = A
Perimeter of Triangle 2 = B
Perimeter of Triangle 3 = C
Perimeter of Triangle 4 = D
Perimeter of Triangle 5 = E
Perimeter of Triangle 6 = F
Now, let's calculate the difference between the perimeter of the largest triangle and the perimeter of the smallest triangle:
Difference = A - C
Now plug in the values for X into the expressions for each triangle:
Let X = 23X + 4:
Triangle 1 = 23(23) + 4 = 529 + 4 = 533
Triangle 2 = 8(23) + 9 = 184 + 9 = 193
Triangle 3 = 23 - 3 = 20
Triangle 4 = 23 + 7 = 30
Triangle 5 = 3(23) - 4 = 69 - 4 = 65
Triangle 6 = 23 + 5 = 28
Difference = A - C = 533 - 20 = 513
Therefore, when X equals 23, the perimeters of the triangles are:
Triangle 1: 533
Triangle 2: 193
Triangle 3: 20
Triangle 4: 30
Triangle 5: 65
Triangle 6: 28
Write an expression in simplest form of the perimeter of each triangle write another expression in simplest form that shows the difference between the perimeter of the largest triangle and the perimeter of the smaller triangle. Find the perimeter of each triangle when X equals 23X +4, 8X +9, X -3, X +7, 3X -4, X +5
1 answer