To find: the dimensions the rectangle.
Answer to Problem 38CT
The length of rectangle is
Width of rectangle is
Explanation of Solution
Given information:
The length of rectangle 3cm more than twice its width and it’s area
Calculation:
Let the width of the rectangle =
According to problem
Twice of width x = 2x and 3cm more than 2x =
Therefore, length of rectangle =
Area of rectangle =
Substituting length =
Switching sides
Distribute x over
Subtract 90 on both sides:
Factorize this quadratic equation using splitting middle term::
Now, factor it by grouping
Factor out
Factor out 15 from
So,
Factor out the common parenthesis:
Applying zero product rule. Set each factor equal to 0 and solve for x .
We don’t consider any negative value.
Therefore, the width of the rectangle is
And the length of rectangle =
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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