Question

10. What is the difference between the perimeter of the rectangle and the perimeter of thetriangle?4.5e1.5e1.5e5.1f4.5f

Answer 1

We have a triangle and a rectangle, whose perimeters are in function of variables "e" and "f".

We can calculate the perimeter of the triangle as the sum of the 3 sides:

$P_T=1.5e+4.5e+5.1f=6e+5.1f$

The perimeter of the rectangle is two times the sum of height and base:

$P_R=2(1.5e+4.5f)=3e+9f$

We can calculate the difference between the perimeter of the rectangle and the triangle as:

$P_R-P_T=(3e+9f)-(6e+5.1f)=3e-6e+9f-5.1f=-3e+3.9f$

Answer: The difference between the perimeter of the rectangle and the triangle is (3.9f-3e).