The value of a, b and c are 2, 17, and 30 respectively.
Area of a rectangle
The given diagram is rectangular in nature
- The area of a rectangle = length * width
Given
Length = 6 + x
Width = 5 + 2x
Take the product of the sides
Area = (6 + x)(5 + 2x)
Area = 30 + 6(2x) + 5x + 2x^2
Area = 2x^2 + 17x + 30
Compare with ax^2 + bx + c
ax^2 = 2x^2
a = 2
Similarly
bx = 17x
b = 17
c = 30
Hence the value of a, b and c are 2, 17, and 30 respectively.
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