/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 46 The length of a rectangular pool... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 46

The length of a rectangular pool is 6 meters less than twice the width. If the pool's perimeter is 126 meters, what are its dimensions?

Short Answer

Expert verified
The width of the pool is 23 meters and the length is 40 meters.

Step by step solution

01

Formulate Equations

Let's denote the width of the pool as \(x\) meters. Since it is given that the length is 6 meters less than twice the width, we can express length as \(2x - 6\) meters. The formula for the perimeter of a rectangle is \(2 * (length + width)\). We are given that the perimeter is 126 meters, so we can substitute the expressions for length and width into the perimeter formula to get: \(2 * (2x - 6 + x) = 126\).
02

Simplify The Equation

Before solve the equation it will be helpful to simplify it. The equation from the previous step we have such as after multiplication \(6x - 12 = 126\). Now we can add 12 to each side of the equation to get \(6x = 138\).
03

Solve For x

To solve for \(x\), we need to isolate \(x\) on one side of the equation. We achieve this by dividing each side of the equation by 6. So, we have \(x = \frac{138}{6} = 23\).
04

Find The Length

Now we can use the value of the width (\(x = 23\)) determine the length. Substituting \(23\) into \(2x - 6\), we get \(2 * 23 - 6 = 46 - 6 = 40\) meters.

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

Most popular questions from this chapter

Solve each equation. $$ \text { Solve for } A: r=\sqrt{\frac{A}{4 \pi}} $$

In more U.S. marriages, spouses have different faiths. The bar graph shows the percentage of households with an interfaith marriage in 1988 and 2008. Also shown is the percentage of households in which a person of faith is married to someone with no religion. (Graph cant copy) The formula $$I=\frac{1}{4} x+26$$ models the percentage of U.S. households with an interfaith marriage, \(I\), \(x\) years after 1988 . The formula $$N=\frac{1}{4} x+6$$ models the percentage of U.S. households in which a person of faith is married to someone with no religion, \(N, x\) years after 1988 Use these models to solve Exercises. a. In which years will more than 33% of U.S. households have an interfaith marriage? b. In which years will more than 14% of U.S. households have a person of faith married to someone with no religion? c. Based on your answers to parts (a) and (b), in which years will more than 33% of households have an interfaith marriage and more than 14% have a faith/no religion marriage? d. Based on your answers to parts (a) and (b), in which years will more than 33% of households have an interfaith marriage or more than 14% have a faith/no religion marriage?

Solve and check linear equation. \(45-[4-2 y-4(y+7)]=\) \(-4(1+3 y)-[4-3(y+2)-2(2 y-5)]\)

A rectangular parking lot has a length that is 3 yards greater than the width. The area of the parking lot is 180 square yards. Find the length and the width.

In a round-robin chess tournament, each player is paired with every other player once. The formula $$N=\frac{x^{2}-x}{2}$$ models the number of chess games, \(N,\) that must be played in a round-robin tournament with \(x\) chess players. Use this formula to solve Exercises \(131-132\). In a round-robin chess tournament, 36 games were played. How many players were entered in the tournament?
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.