Find value of the unknown variable from the given figures of same area.
Answer to Problem 22PPS
Explanation of Solution
Given:
Two figures with length and height and the areas of both figures are same.
Concept Used:
Area of the Rectangle:
Calculation:
Addition or Subtraction Property of Equality:
If
The property that states that if you add or subtract the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)
Multiplication and Division Properties of Equality:
If
If
In other words, if two expressions are equal to each other and you multiply or divide (except for 0) the exact same constant to both sides, the two sides will remain equal.
For the first figure: length = x and height = 12
Area:
For the 2nd figure: length = 16 and height = x − 2
Area:
According to the question both the areas are same.
Equation:
Thus, the value of x is
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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