Flooring a Room
Flooring covers the inside surface of the room, so this is an area problem.
A = l × w
Free Interactive Geometry Tool
Area & Perimeter Practice
Learn how to distinguish area from perimeter, choose the correct formula, use the given dimensions, solve step by step, and write answers with the correct linear or square units.
Start practicingNeed Help Understanding Area & Perimeter?
Learn the difference between area and perimeter, how to choose the correct formula, how to work with rectangles and squares, how to solve missing-dimension problems, and how to recognize area and perimeter in real-world situations.
Read the Area & Perimeter Guide
Practice Mode
Work through the full process using both area and perimeter problems.
Problem 1 of 10
10%
Current Problem
Look at the figure and determine what the problem is asking you to find.
Rectangle
Full Solution
Beginner
Solve the Geometry Problem
Find the area of the rectangle shown below.
8 units
5 units
Find
Area
Shape
Rectangle
Measurement
Area
Answer
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Area & Perimeter Formulas
Area:
A = l × w
Perimeter:
P = 2l + 2w
Area measures the space inside a figure. Perimeter measures the distance around its outside edge.
1
Dimensions
2
Formula
3
Substitute
4
Calculate
5
Units
Step 1
Identify the dimensions you need
Read the labeled dimensions on the figure and enter the values needed for the formula.
Current Problem
Find the area of the rectangle.
Your Work
Identify the dimensions shown on the figure.
Step 1 of 5
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→
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→
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→
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First decide what quantity the problem is asking you to measure.
Start by deciding whether the problem asks for area or perimeter.
Hint
Ask yourself whether you are measuring the space inside the shape or the distance around it.
Quick Reference
Area & Perimeter Reference
Rectangle Area
A = l × w
Multiply the rectangle's length by its width.
Rectangle Perimeter
P = 2l + 2w
Add the lengths of all four sides.
Square Area
A = s²
Multiply the side length by itself.
Square Perimeter
P = 4s
Multiply one side length by four.
Area Units
units²
Area is always measured in square units.
Perimeter Units
units
Perimeter is measured in ordinary linear units.
Round Complete
Great job!
Problems Solved
10
Correct Steps
0
Incorrect Attempts
0
Accuracy
0%
Area vs. Perimeter
Area measures inside the shape; perimeter measures around it
The first step in many geometry problems is deciding what measurement is actually needed. Area tells how much space a two-dimensional figure covers, while perimeter tells the total distance around its boundary.
Fencing a Yard
A fence goes around the outside edge of the yard, so this is a perimeter problem.
P = 2l + 2w
Use the Correct Units
Perimeter uses linear units such as feet or centimeters. Area uses square units such as ft² or cm².
perimeter → units area → units²
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