The length of the base of a certain parallelogram is 89% of the height of the parallelogram. Which expression represents the length of the base of the parallelogram, where h is the... The length of the base of a certain parallelogram is 89% of the height of the parallelogram. Which expression represents the length of the base of the parallelogram, where h is the height of the parallelogram?

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Understand the Problem

The question is asking for the expression that represents the length of the base of a parallelogram, given that it is 89% of the height. We need to translate this percentage into a mathematical expression using the variable h, which represents the height.

Answer

The expression for the length of the base is $0.89h$.
Answer for screen readers

The expression that represents the length of the base of the parallelogram is $0.89h$.

Steps to Solve

  1. Identify the Given Information

The problem states that the base of the parallelogram is 89% of the height. Let the height be represented by the variable $h$.

  1. Convert Percentage to Decimal

To express 89% as a decimal, divide by 100: $$ 0.89 = \frac{89}{100} $$

  1. Write the Expression for the Base

The length of the base (we'll call it $b$) can be expressed as: $$ b = 0.89 \cdot h $$

  1. Select the Correct Option

Now, check which of the given options represents this expression:

  • A) $89h$
  • B) $0.089h$
  • C) $8.9h$
  • D) $0.89h$

The correct expression is $0.89h$, which corresponds to option D.

The expression that represents the length of the base of the parallelogram is $0.89h$.

More Information

In this problem, converting percentages to decimals is a common technique in algebra. The conversion allows for easier manipulation when creating expressions based on relationships described in the problem.

Tips

  • Confusing percentage with decimal: Some might mistakenly interpret 89% as 89 rather than $0.89$.
  • Misplacing the decimal or removing it entirely, leading to expressions like $89h$ or $8.9h$.

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