The area of a rectangular granite countertop is
The width of the countertop is
What is the length of the countertop?
To find : the length of the countertop.
Answer to Problem 17P
Explanation of Solution
Given information: The area of a rectangular countertop is
Calculation:
We will factorize the polynomial for the area of the rectangular countertoop by splitting the midle term into two terms whose sum is 10x and product is
Therefore, by splitting the middle term , we get
We know that area of a rectangle is product of its length and width.
Therefore, length of the countertop is the ratio of its area to its width.
length
Thus, length of the countertoop is
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