Q1: The perimeter of the triangle is a + b + c and if each side is the same then it's 3a. In this situation we may write it in its simplest form as 9m . Note that 3(3m) is also correct but it's not the simplest form.
Q2: You're correct, the distributive property of 3(3m) can be written as 3 (2m + m) .
The question involves finding the perimeter of a triangle with equal sides (an equilateral triangle) and writing expressions using the distributive property. The simplest form for the expression of the perimeter is by adding the lengths of all three sides. For a triangle with sides of length 3m, this would be-
3m + 3m + 3m
which simplifies to 9m.
This is because the perimeter is the total distance around the triangle, and since all sides are equal, you multiply the length of one side by 3.
Using the distributive property, we represent the perimeter as 3(3m), which is an equivalent expression because the distributive property allows for multiplication across addition within parentheses. It is the same as adding 3m three times. The suggested expression 3(2m+m) is also correct, as it simplifies to 3(3m) — both illustrate different ways of grouping the terms while using the distributive property.
The perimeter of the triangle is 9 m , derived from adding the lengths of its sides. Using the distributive property, the perimeter can also be expressed as 3 ( 2 m + m ) . This illustrates how you can factor out common elements in a mathematical expression.
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Jawab:(+8) - (+4)= 8 -4= 4