The length of a side of an equilateral triangle is x−4.5.

First, express its perimeter as a sum.

Next, express its perimeter as a product.

Answer:

The sides of an equilateral triangle are same. So if one of the sides is (x-4.5), all the sides are (x-4.5).  

Let the sides are a=(x-4.5), b=(x-4.5), c=(x-4.5)

1. Perimeter(as sum) = a+b+c

                                   =  (x-4.5)+(x-4.5)+(x-4.5)

                                   = x+x+x-4.5-4.5-4.5

                                   = 3x - 13.5

2. Perimeter (as product) = 3×a    

                                    = 3×(x-4.5)

                                    = 3×x - 3×4.5

                                    = 3x - 13.5

(you can write 3×b or 3×c also as a=b=c.)

Both perimeter as sum and perimeter as product are same as adding a number three times is the same as multiplying it by 3.

Step-by-step explanation:

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