/*! 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} Q39. Challenge The figure shown is co... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q39. (page 127)

Challenge The figure shown is composed of a triangle and a rectangle. The figure has a total area of 1258 square units. Find the value of x.

Short Answer

Expert verified

The value of x is 10.09 units

Step by step solution

01

Step-1 – Given

The total area is 1258 square units. The given figure is composed of a triangle with base 3x+1units and height 24 units and a rectangle with3x+1 units width and 25 units length.

02

Step-2 – To determine

We have to find the value of the x for the given figure.

03

Step-3 – Calculation

The total area is given by the equation,

25(3x+1)+12脳(3x+1)脳2=125875x+25+36x+12=1258[distributiveproperty]121x+37=1258[combineliketerms]121x+37鈭�37=1258鈭�37[subtract37fromeachside]121x=1221121x梅121=1221梅121[divideeachsidewithby121]x=10.09

Hence, the required value of x for the given figure is 10.09 units.

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 the inequality. Graph and check your solution.

x+3<7

Find the value of a variable that, when substituted into an inequality, makes a true statement is a(n)鈥︹��.

Write and solve an equation for the following verbal sentence: Nine more than 3 times a number is equal to 7 less than twice the number. (Lesson 3.3)

Explain how the graph of x>5 is different from the graph of x鈮�5.

Geometry The perimeter of the square is equal to the perimeter of the triangle. The sides of the triangle are equal in length.

  1. Estimate Without doing any calculations, estimate which figure has the greater side length. Explain your choice.
  2. What is the side length and perimeter of each figure?
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

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.