/*! 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 147 Each side of a square is lengthe... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 147

Each side of a square is lengthened by 3 inches. The area of this new, larger square is 64 square inches. Find the length of a side of the original square.

Short Answer

Expert verified
The length of a side of the original square is 5 inches.

Step by step solution

01

Understand the problem

Let's denote the side length of the original square as 'x'. We know that each side of the square increased by 3 inches to form a new square. So, the side length of the new square is \(x+3\) inches. Now, the area of this new square is given as 64 square inches. So, we have a equation: \((x+3)^2 = 64\).
02

Solve the equation

Solving the equation \((x+3)^2 = 64\), we get \(x+3 = \pm 8\). Considering the positive root for the length (since the length cannot be negative), we get \(x+3 = 8\).
03

Calculate the original side length

Now, solve the equation \(x+3 = 8\) for 'x' by subtracting 3 from each side. Thus, \(x = 8 - 3 = 5\). So, the side length of the original square is 5 inches.

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

Will help you prepare for the material covered in the next section. Factor completely: \(x^{3}+x^{2}-4 x-4\).

Explaining the Concepts. Describe how to solve an absolute value inequality involving the symbol \(<\). Give an example.

Solve equation by the method of your choice. $$ \sqrt{3} x^{2}+6 x+7 \sqrt{3}=0 $$

Find all values of \(x\) satisfying the given conditions. $$ y_{1}=x-1, y_{2}=x+4, \text { and } y_{1} y_{2}=14 $$

Solve equation by the method of your choice. $$ \sqrt{2} x^{2}+3 x-2 \sqrt{2}=0 $$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

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.