Area of Rectangle: Calculating with x=1.0 & x=1.5

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The area of a rectangle with a base of 0.5 units and a height calculated using the function f(x) = 4 - x² at x = 1.5 results in an area of 0.875 square units. The height at this point is determined to be 1.75 units. The discussion confirms that the height does not equal 1.5, reinforcing the importance of accurate function evaluation in geometric calculations.

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I know that the height is not 2 somewhere around 1.9 or 1.85 which is the f()
It is x = 1.0 and x = 1.5
and the strip of the shaded is 0.5 unit wide

Somehow i can get the asnwerView attachment 6312
 

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It appears the base $b$ of the rectangle is 0.5 units, while the height is:

$$h=f(1.5)=4-1.5^2=1.75$$

Thus, the area $A$ (in units squared) is:

$$A=0.5\cdot1.75=0.875$$
 
MarkFL said:
It appears the base $b$ of the rectangle is 0.5 units, while the height is:

$$h=f(1.5)=4-1.5^2=1.75$$

Thus, the area $A$ (in units squared) is:

$$A=0.5\cdot1.75=0.875$$

ahaha the height does not seem to be 1.5 ahaha..thank you :D
 

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