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

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The discussion focuses on calculating the area of a rectangle with a base of 0.5 units and a height determined by the function f(x) at x = 1.5, yielding a height of 1.75. The area is calculated using the formula A = base × height, resulting in an area of 0.875 square units. There is clarification that the height is not 1.5, as initially thought, but rather 1.75. The calculations confirm the correct dimensions and area of the rectangle. Overall, the area of the rectangle is conclusively determined to be 0.875 square units.
needOfHelpCMath
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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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