Answer:
a. blue 16x + 5
a. red 4x + 5
b. 12x
c. blue 53
c. red 17
Step-by-step explanation:
a.
The perimeter of a polygon is the sum of the lengths of the sides of the polygon.
Blue triangle:
side lengths: 4x + 2, 5x - 4, 7x + 7
perimeter = 4x + 2 + 5x - 4 + 7x + 7 = 16x + 5
Red triangle:
side lengths: x + 3, x + 7, 2x - 5
perimeter = x + 3 + x + 7 + 2x - 5 = 4x + 5
b.
We subtract the perimeter of the red triangle from the perimeter of the blue triangle.
16x + 5 - (4x + 5) =
= 16x + 5 - 4x - 5
= 12x
c.
Blue triangle:
perimeter = 16x + 5 = 16(3) + 5 = 48 + 5 = 53
Red triangle:
perimeter = 4x + 5 = 4(3) + 5 = 12 + 5 = 17
