Question

The sides of a triangle are 4x(cm), 5x+3(cm) and 7x-1(cm). If the perimeter of the triangle is 130 (cm), what is the length of the shortest side of the triangle?

Answer 1

Well, first you need to find x/

All the sides added together will equal the perimeter, so set up this equation...
4x+5x+3+7x-1=130
16x+2=130 
16x=128 ---> subtract 2 from both sides
x=8 ---> divide both sides by 16


Now plug in x to the equation for each side, and the one resulting in the smallest number is the answer, which should be the 4x that is 32 cm

Answer 2

The length of shortest side of triangle is 32 cm.

Perimeter of triangle is defined as sum of its all three sided.

Since, The sides of a triangle are 4x(cm), 5x+3(cm) and 7x-1(cm).

Perimeter of triangle = 4x + 5x + 3 + 7x - 1

And perimeter of triangle is 130 cm.

So,   $4x + 5x + 3 + 7x - 1=130\\\\16x+2=130\\\\16x=128\\\\\\x= 128/16=8cm$

Shortest side of triangle $=4x=4*8=32cm$

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