Q28. The area of a rectangle is聽25x2... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q28. (page 460)

The area of a rectangle is $25 x^{2} y^{4}$ square feet. The width of the rectangle is $5 x y$ feet. What is the length of the rectangle?

Short Answer

Expert verified

The length of the rectangle is $5 x y^{3}$ feet.

Step by step solution

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define quotient of power rule.

The quotient of power rule is given by

$\frac{a^{m}}{a^{n}} = a^{m 鈭� n}$

Where, $a$ is any non-zero real number and $m > n$ .

Step 3. Define the area of the rectangle.

$Area of the rectangle = length 脳 width 鈥� 鈥� 鈥� . . (1)$

Step 4. Calculate the length of the given rectangle.

The area of the rectangle $= 25 x^{2} y^{4}$ square feet

The width of the rectangle $= 5 x y$ feet

Let the length of the rectangle $= L$ feet

Use the equation (1).

role="math" localid="1647799427957" $25 x^{2} y^{4} = L 脳 5 x y L = \frac{25 x^{2} y^{4}}{5 x y} L = (\frac{25}{5}) (\frac{x^{2}}{x}) (\frac{y^{4}}{y}) L = 5 (\frac{x^{2}}{x}) (\frac{y^{4}}{y})$

Use quotient of power rule.

$L = 5 (x^{2 鈭� 1}) (y^{4 鈭� 1}) L = 5 x y^{3}$

Therefore, the length of the rectangle is $5 x y^{3}$ feet.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Family	Wilson	Sanchez
Number of Video Game Tokens	25	30
Number of Batting Cage Tokens	8	6
Total Cost	$\(26.50$	$\) 25.50$

91影视

The area of a rectangle is $25 x^{2} y^{4}$ square feet. The width of the rectangle is $5 x y$ feet. What is the length of the rectangle?

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define quotient of power rule.

Step 3. Define the area of the rectangle.

Step 4. Calculate the length of the given rectangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

91影视

The area of a rectangle is25x2y4 square feet. The width of the rectangle is 5xyfeet. What is the length of the rectangle?

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define quotient of power rule.

Step 3. Define the area of the rectangle.

Step 4. Calculate the length of the given rectangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

The area of a rectangle is $25 x^{2} y^{4}$ square feet. The width of the rectangle is $5 x y$ feet. What is the length of the rectangle?