/*! 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 43 The length of a rectangle is \(x... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 43

The length of a rectangle is \(x\) units, and the width of the rectangle is \(\frac{3}{8} x\) units. a) Write an expression for its area. b) Write an expression for its perimeter.

Short Answer

Expert verified
a) The expression for the area of the rectangle is: Area = \(\frac{3}{8} x^2\) units虏. b) The expression for the perimeter of the rectangle is: Perimeter = \(\frac{11}{4} x\) units.

Step by step solution

01

a) Expression for Area of the Rectangle

To find the area of a rectangle, we can use the formula: Area = Length 脳 Width The length is given as \(x\) units, and the width is given as \(\frac{3}{8} x\) units. We can substitute these values into the formula: Area = \(x 脳 \frac{3}{8} x\) units虏 Now, we can simplify the expression to find the area: Area = \(\frac{3}{8} x^2\) units虏 So the expression for the area of the rectangle is \(\frac{3}{8} x^2\).
02

b) Expression for Perimeter of the Rectangle

To find the perimeter of a rectangle, we can use the formula: Perimeter = 2 脳 (Length + Width) The length is given as \(x\) units, and the width is given as \(\frac{3}{8} x\) units. We can substitute these values into the formula: Perimeter = 2 脳 (\(x + \frac{3}{8} x\)) units Now, we can simplify the expression inside the parentheses: Perimeter = 2 脳 \(\frac{11}{8} x\) units Finally, we multiply by 2 to get the expression for the perimeter: Perimeter = \(\frac{11}{4} x\) units So the expression for the perimeter of the rectangle is \(\frac{11}{4} x\).

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

Simplify using the quotient rule. $$\frac{5 m^{-1} n^{-6}}{15 m^{-5} n^{2}}$$

Perform the operation as indicated. Write the final answer without an exponent. \(\frac{6 \times 10^{9}}{2 \times 10^{5}}\)

Perform the operation as indicated. Write the final answer without an exponent. \(\frac{8 \times 10^{7}}{4 \times 10^{4}}\)

Simplify the expression using the product rule. Leave your answer in exponential form. $$(-4)^{2} \cdot(-4)^{3} \cdot(-4)^{2}$$

Simplify the expression using one of the power rules. $$\left(-4^{5}\right)^{3}$$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

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.