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Chapter 9: Problem 9

Find the area of each rectangle. $$ 5 \mathrm{ft} \text { by } 10 \mathrm{ft} $$

Short Answer

Expert verified
The area is 50 ft虏.

Step by step solution

01

- Identify the Dimensions

The given dimensions of the rectangle are 5 feet and 10 feet. The length is 10 feet, and the width is 5 feet.
02

- Write the Formula for Area of a Rectangle

The formula to find the area of a rectangle is: \[ \text{Area} = \text{Length} \times \text{Width} \]
03

- Substitute the Values into the Formula

Substitute the given dimensions into the formula: \[ \text{Area} = 10 \text{ ft} \times 5 \text{ ft} \]
04

- Perform the Multiplication

Calculate the product: \[ 10 \text{ ft} \times 5 \text{ ft} = 50 \text{ ft}^2 \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Rectangle Dimensions
Understanding the dimensions of a rectangle is crucial for calculating its area. A rectangle has two main dimensions: length and width.
The length is the longer side, while the width is the shorter side.
In our example, the rectangle's dimensions are given as 5 feet and 10 feet.
It's important to correctly identify which is the length and which is the width. Here, the length is 10 feet, and the width is 5 feet.
Area Calculation
Calculating the area of a rectangle involves using a simple formula: \(\text{Area} = \text{Length} \times \text{Width}\).
The area represents the amount of space the rectangle covers. Think of it as how many square units (in our case, square feet) fit inside the rectangle.
To find the area, we multiply the length by the width.
Let's substitute our dimensions into the formula: \(\text{Area} = 10 \text{ ft} \times 5 \text{ ft}\).
Multiplication
Multiplication is a fundamental arithmetic operation that combines two numbers to get a product.
In our rectangle example, we need to multiply the length and width to find the area.
So, we calculate: \(\text{Area} = 10 \text{ ft} \times 5 \text{ ft} = 50 \text{ ft}^2\).
This multiplication tells us that the rectangle covers an area of 50 square feet.
Understanding multiplication is essential for many math problems, especially when dealing with areas.

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