120,167 views
3 votes
3 votes
What is the ratio of perimeter of def to abc

What is the ratio of perimeter of def to abc-example-1
User Lonimor
by
2.5k points

1 Answer

12 votes
12 votes

Step 1. Calculate the perimeter of triangle DEF:


\begin{gathered} \text{Perimeter DEF=}12+15+21 \\ \text{Perimeter DEF=48} \end{gathered}

Step 2. Calculate the perimeter of triangle ABC:


\begin{gathered} \text{Perimeter ABC=}8+10+14 \\ \text{Perimeter ABC=32} \end{gathered}

Step 3. Divide the perimeters to find the ratio:


\text{ratio perimeter DEF to }ABC=\frac{Perimeter\text{ DEF}}{Perimeter\text{ ABC}}

The result is:


(48)/(32)

Step 4. Simplify the result:


(48)/(32)=(3)/(2)=1.5

Answer: 1.5

User Satya P
by
3.3k points