Concept explainers
A rectangular pool cover has an area of
What are possible dimensions of the pool cover? Use factoring.
To find : the possible dimensions of the pool cover.
Answer to Problem 51P
Possible dimensions of the rectangular pool are p+ 12 by p- 3.
Explanation of Solution
Given information: A rectangular pool cover has an area of
Calculation:
We know that area of rectangle is product of length and width of rectangle.
Firstly, we will factorize the polynomial for area of rectangle by splitting the midle term into two terms whose sum is
We know that area of rectangle is product of length and width of rectangle.
Therefore, possible dimensions of the rectangular pool are p+ 12 by p- 3.
Therefore, by splitting the middle term , we get
Thus, factored form of given expression is
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