To find: the dimensions of a rectangle with given conditions.
Answer to Problem 15P
The length of the new rectangle is
The width of the new rectangle is
Explanation of Solution
Given:
The dimensions of a rectangle are
Both dimensions are decreased by the same amount, the area of the rectangle decreases by
Let the amount by which both the dimensions are decreased be
The length of the rectangle becomes
The width of the rectangle becomes
The equation can be written as
Since, both the dimensions of the rectangle are decreased by
Thus, the amount by which both the dimensions are decreased is
The length of the new rectangle is
The width of the new rectangle is
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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