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Chapter 3: Q33. (page 127)

Geometry Find the value of x for the given triangle, rectangle or square.

Perimeter = 40 units

Short Answer

Expert verified

The value of x is 11.

Step by step solution

01

Step-1 – Given

Perimeter = 40 units

Length = 7 units and width = units

02

Step-2 – To determine

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

03

Step-3 – Calculation

The equation of the perimeter will be,

2[7+(x+2)]=40

2[7+(x+2)]=402(7+x+2)=40[combineliketerms]2(x+9)=402x+18=40[evaluatepower]2x+18鈭�18=40鈭�18[subtract18fromeachside]2x=222x梅2=22梅2[divideeachsideby2]x=11

Hence, the required value of x is 11.

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Most popular questions from this chapter

Duathlons A duathlon is an event that consists of running and biking. While training for a duathlon, you run and bike a total of 23 kilometers in 1.25 hours. You run at an average speed of 10 kilometers in 1.25 hours. You run at an average speed of 10 kilometers per hour and bike at an average speed of 24 kilometers per hour. Write and solve an equation to find the time you spend running and the time you spend biking.

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)

Driving A family is driving to Houston, Texas. A sign indicates that they are 700 miles from Houston. Their car鈥檚 trip odometer indicates that they are 400 miles from home. They are travelling at an average speed of 60 miles per hour.

  1. Write an expression for the distance (in miles) they will be from Houston in x hours.
  2. Write an expression for the distance (in miles) they will be from home in x hours.
  3. Use the expression from parts a and b to write and solve an equation to find the number of hours they will drive until they are exactly halfway between Houston and their home.
  4. Suppose they travel by local roads instead of highway. They travel the 700 miles at a speed of 45 miles per hour. How long will they drive before they are exactly halfway between Houston and their home?

Check your solution.

2=6h+20

Solve the inequality. Graph your solution.

x+75>-125
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