Writing Equations from Context Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

hard
The perimeter of a rectangle is 34 cm. The length is 5 cm more than the width. Find the dimensions.

Solution

  1. 1
    Let ww = width. Length = w+5w + 5.
  2. 2
    Perimeter: 2w+2(w+5)=342w + 2(w+5) = 34, so 4w+10=344w + 10 = 34, giving w=6w = 6.
  3. 3
    Width: 6 cm, Length: 11 cm.

Answer

Width =6= 6 cm, Length =11= 11 cm.
Express all unknowns in terms of one variable, then write the equation using the given total.

About Writing Equations from Context

Translating real-world situations and word problems into algebraic equations by identifying the unknown, choosing a variable, and expressing relationships mathematically.

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More Writing Equations from Context Examples

Example 1 easy

Write an equation: 'Three times a number decreased by 4 is 17.'

Example 2 medium

A plumber charges [formula]30 per hour. If the bill was $170, how many hours did the job take?

Example 3 easy

Write an equation: 'Half of a number plus 6 equals 10.'

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