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Sagot :
The length of the square paving is the base unit to which the area of the
and patio and the border are evaluated.
Correct response:
- The possible x-values are; 10, 6, 4, and 3
Which method is used to evaluate the area of the patio?
Let s represent the size of the square paving, we have;
Area of the patio = s·x × s·y = s²·x·y
New area = (2·s + s·x) × (2·s + s·y) = 4·s² + 2·s²·y + 2·x·s² + s²·x·y
Area of the border = 4·s² + 2·s²·y + 2·x·s² = s²·x·y
2·s²·(2 + y + x) = s²·x·y
2·(2 + y + x) = x·y
4 + 2·y + 2·x = x·y
x·y - 2·x = 4 + 2·y
x·(y - 2) = 4 + 2·y
Which by using gives;
[tex]x = \mathbf{ \dfrac{4 + 2 \cdot y }{y- 2}}[/tex]
By graphing the above equation on MS Excel, we have the following
possible values of x, and y combination; (10, 3) (6, 4), (4, 6), (3, 10).
Therefore;
- The possible values of x are; 10, 6, 4, and 3
Learn more about equations here:
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