To find: the dimensions of the plot.
Answer to Problem 9P
The dimensions of the rectangular plot are 30 m by 45 m.
Explanation of Solution
Given:
Area
Calculation:
The area of a rectangle is the product of its length and breadth. The length is given as y and breadth as x.
The total length of fencing is the sum of the lengths of all the sides and given that it is
Divide both sides of the equation by 2.
Find the value of y from this equation.
Substitute the value of y in
Simplify.
Divide both sides by
Factor the equation.
Solve this equation.
So, the breadth of the rectangle is 30 m.
Substitute 30 for x in
The length of the rectangle is 45 m.
Therefore, the dimensions of the rectangular plot are 30 m by 45 m.
Conclusion:
The dimensions of the rectangular plot are 30 m by 45 m.
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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