171k views
3 votes
The rectangle has an area of 144 square centimeters. which is the perimeter?

The rectangle has an area of 144 square centimeters. which is the perimeter?-example-1
User Tamikha
by
8.3k points

1 Answer

0 votes

The formula to find the area of a rectangle is:


\begin{gathered} A=L\cdot W \\ \text{ Where} \\ A\text{ is the area} \\ L\text{ is the length} \\ W\text{ is the width} \end{gathered}

Then, let it be:

• L: The length of the rectangle.

,

• W: The width of the rectangle.

So, we have:


\begin{gathered} A=144cm^2 \\ L=? \\ W=8cm \end{gathered}

Now, we can write and solve for L the following equation:


\begin{gathered} A=L\cdot W \\ 144cm^2=L\cdot8cm \\ \text{ Divide by 8}cm\text{ from both sides} \\ (144cm^2)/(8cm)=(L\cdot8cm)/(8cm) \\ 18cm=L \end{gathered}

The following is the procedure for dividing 144 by 8.

On the other hand, the perimeter is the sum of the measures of all sides of a polygon. Then, we have:


\begin{gathered} \text{Perimter}=L+W+L+W \\ \text{Perimter}=18cm+8cm+18cm+8cm \\ \text{Perimter}=52cm \end{gathered}

Therefore, the perimeter of the rectangle is 52 cm.

The rectangle has an area of 144 square centimeters. which is the perimeter?-example-1
The rectangle has an area of 144 square centimeters. which is the perimeter?-example-2
User Matt West
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories