/*! 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} Q. 442 The area of a rectangular shaped... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 442 (page 637)

The area of a rectangular shaped patio 432

square feet. The length of the patio is 6feet more than its width. Find the length and width.

Short Answer

Expert verified

The length and width are24 feet and 18feet respectively.

Step by step solution

01

Step 1. Given

The area of a rectangular shaped patio432

square feet.

The length of the patio is 6feet more than its width.

02

Step 2. Form equations for both the conditions, and solve them.

Let length=l

and width=w

A(Area)=432square feet

A=432l脳w=432l=432w

l=w+6l-w=6432w-w=6432-w2=6ww2+6w-432=0w2+24w-18w-432=0w(w+24)-18(w+24)=0(w+24)(w-18)=0

So,

w=-24,18

But width can't be negative.

So, width is 18

Length is

l+6=18+6=24

03

Step 3. Required answer

The length and width are 24 feet and 18 feet respectively.

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

Factor by Grouping In the following exercises, factor by grouping.

cd+6c+4d+24

Factor by Grouping In the following exercises, factor by grouping.

x2-x+4x-4

Factor completely using trial and error:10y2-37y+7

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
8y3-125z3

In the following exercises, find the greatest common factor.

27p2q3,45p3q4,9p4q3
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Probability and Statistics

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.