Master

Word Problems Involving Width, Length and Area

Master word problems involving width, length and area with interactive lessons and practice problems! Designed for students like you!

Learn

Get the basics

Practice

Apply your skills

Master

Achieve excellence

Word Problems Involving Width, Length and Area

Study Guide

Key Definition

To find the area of a rectangle, use $A = w \times l$, where $A$ is the area, $w$ is the width, and $l$ is the length.

Important Notes

The area of a rectangle is calculated using $A = w \times l$
The area of a triangle is calculated using $A = \frac{1}{2} b \times h$
In word problems, extract all necessary information before solving
Draw diagrams if it helps visualize the problem
Double-check your solution to ensure it makes sense in the context of the problem

Mathematical Notation

$A$ represents the area

$w$ represents the width

$l$ represents the length

$\times$ represents multiplication

$\frac{1}{2}$ represents one-half

Remember to use proper notation when solving problems

Why It Works

Using the formulas $A = w \times l$ and $A = \frac{1}{2} b \times h$ helps convert geometric properties into solvable algebraic expressions.

Remember

Always check the units and ensure all measurements are in the same unit before calculating area.

Quick Reference

Rectangle Area Formula:$A = w \times l$

Triangle Area Formula:$A = \frac{1}{2} b \times h$

Understanding Word Problems Involving Width, Length and Area

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

To find the area of a rectangle, multiply its width by its length. If width is $w$ and length is $l$, then $A = w \times l$. For instance, a 5 by 3 rectangle has area $5 \times 3 = 15$.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

What is the area of a rectangle with width $5$ and length $3$?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

You want to paint a wall that is $10$ feet wide and $8$ feet long. How much area will you paint? Provide your answer in square feet.

Thinking Challenge

Thinking Exercise