Question

Solve the following. The sides of a big triangle measure 100 m each. The sides of a small triangle measure 10 m less than the sides of the big triangle. i) Find the perimeter of the big triangle. ii) Find the perimeter of the small triangle iii) What is the difference between the two perimeters? ​

Answer 1

Answer:

i) The perimeter of the big triangle is 300 m.

ii) The perimeter of the small triangle is 270 m.

iii) The difference between the two perimeters is 30 m.

Step-by-step explanation:

i) Side of  the big triangle (a) = 100 m

  Perimeter of the big triangle ($P_{1}$) = 3a  = 3 x 100 m  =300 m

ii) Side of  the small  triangle (l) = 100 m -10 m  =90 m

   Perimeter of the small triangle ($P_{2}$) = 3l  =3 x 90 m  =270 m

iii) The difference between the two perimeters = $P_{1}$ - $P_{2}$

                                                                              = 300 m - 270 m  

                                                                              = 30 m