Calculate Rectangle Perimeter: Area = 96 Square Units

Q: How do I find the missing dimension when I only know the area?

Use the area formula backwards! If Area = length × width and you know area and one dimension, divide: missing dimension = Area ÷ known dimension. Here: length = 96 ÷ 8 = 12.

Q: Why can't I just use the area to find perimeter directly?

Area and perimeter measure different things! Area measures space inside (square units), while perimeter measures distance around (linear units). You need the individual side lengths, not the area.

Q: How do I remember the perimeter formula?

Think "go around the rectangle"! You walk along all four sides: length + width + length + width = 2(length + width). It's like measuring a fence around your yard.

Q: What if I get the wrong perimeter but my area calculation was right?

Double-check your perimeter formula! Make sure you're adding all four sides or using P = 2(l + w). The most common error is forgetting to multiply by 2.

Rectangle Perimeter with Given Area

If the area of the rectangle below is equal to 96.

Calculate the perimeter of the rectangle.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's find the perimeter of the rectangle.

00:10 The perimeter is the total length around the rectangle. So, we add up all the sides.

00:16 Remember, in a rectangle, opposite sides are the same length.

00:23 Now, let's plug in the values, and add them to find the perimeter.

00:28 And there you go! That's how we solve the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

If the area of the rectangle below is equal to 96.

Calculate the perimeter of the rectangle.

Step-by-step solution

Given that in a rectangle every pair of opposite sides are equal to each other, we can state that:

$AB=CD=12$

$AC=BD=8$

Now we can calculate the perimeter of the rectangle by adding all the sides together:

$8+12+8+12=16+24=40$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Area = length × width, Perimeter = 2(length + width)
Technique: From Area = 96 and width = 8, find length = 96 ÷ 8 = 12
Check: Verify: 8 × 12 = 96 ✓, then P = 2(8 + 12) = 40 ✓

Common Mistakes

Avoid these frequent errors

Adding area to the dimensions
Don't add area (96) directly to length and width = wrong perimeter! Area and perimeter are completely different measurements with different units. Always use Area = l × w to find missing dimension first, then P = 2(l + w).

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?

FAQ

Everything you need to know about this question

How do I find the missing dimension when I only know the area?

Use the area formula backwards! If Area = length × width and you know area and one dimension, divide: missing dimension = Area ÷ known dimension. Here: length = 96 ÷ 8 = 12.

Why can't I just use the area to find perimeter directly?

Area and perimeter measure different things! Area measures space inside (square units), while perimeter measures distance around (linear units). You need the individual side lengths, not the area.

What's the difference between length and width in a rectangle?

In math problems, it doesn't matter which side you call length or width - they're just two different dimensions. What matters is that opposite sides are equal in rectangles.

How do I remember the perimeter formula?

Think "go around the rectangle"! You walk along all four sides: length + width + length + width = 2(length + width). It's like measuring a fence around your yard.

What if I get the wrong perimeter but my area calculation was right?

Double-check your perimeter formula! Make sure you're adding all four sides or using P = 2(l + w). The most common error is forgetting to multiply by 2.

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