Mathematics
Grade10
Easy
Question
A paint tray has an area of 42x2 + 135x + 108 square in. The square paint compartments that are all the same size and spaced evenly, though the space along the edge of the tray is twice as wide as the space between squares.
![](data:image/png;base64,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)
What is the width of the paint tray?
- 6x – 8
- 5x + 7
- 6x + 9
- 5x + 11
Hint:
Quadratic polynomial is a polynomial in which the highest degree monomial is of the second degree.
The correct answer is: 6x + 9
To find the width, lets factor the area trinomial.
42x2 + 135x + 108
Take out 3.
3(14x2 + 45x + 36). So, first factor 14x2 + 45x + 36.
a = 14, b = 45, c = 36
ac = 14×36 = 504
Factors of 504 are 21 and 24.
21 + 24 = 45
14x2 + 21x + 24x + 36 = 7x(2x + 3) + 12(2x + 3) = (7x + 12)(2x + 3)
42x2 + 135x + 108
= 3(7x + 12)(2x + 3) = (7x + 12)(6x + 9)
So, length is 7x + 12 in. and width is 6x + 9 in.
Hence, the correct option is C.
Area of a rectangle= length × breadth sq. units.