. Simplify an expression for the perimeter of the equilateral triangle shown below.

Answer:

1.75×2-2

Step-by-step explanation:

look at the answer

The perimeter of the equilateral triangle with side length 1.75x - 2 is 5.25x - 6.

Perimeter of a geometrical shape is defined as the total boundary length. The perimeter of a shape can be calculated by adding the length of all the sides.

Perimeter of regular shape can be calculated by multiplying the length of the side with the total number of sides since a regular shape has all sides equal.

Here, we have an equilateral triangle with length of a side = 1.75x - 2.

Equilateral triangle is a regular shape, with all it's sides are equal.

Perimeter of an equilateral triangle with side length x is 3x.

Therefore,

Perimeter of this triangle = 3 ( 1.75x - 2 )

By distributive property, a (b + c) = ab + ac.

Perimeter = (3 × 1.75x) - (3 × 2)

                = 5.25x - 6

Hence the perimeter of the equilateral triangle shown is  1.75x - 2.

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