Answer:
Area of Rectangle =
Step-by-step explanation:
Rectangle two vertices lie on x axis ; two vertices lie on parabola .
Supposing coordinates of upper right vertex of rectangle are P =
Due to parabola symmetry, width of rectangle is twice the distance horizontal (X) axis distance between Y axis & point P.
Width of rectangle =
Length of rectangle = ;
Area of Rectangle = Length x Width
=
=
=
The value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
<h3>Trigonometry </h3>From the question, we are to determine the values of the missing sides
From the diagram,
Opposite = 9
Adjacent = y
Hypotenuse = x
Included angle = 45°
Using SOH CAH TOA, we can write that
∴ y = 9
Since the triangle is a right triangle, we can write that
x² = y² + 9² (<em>Pythagorean theorem</em>)
x² = 9² + 9²
x² = 81 + 81
x² = 162
x = √162
x = 12.7
Hence, the value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
Learn more on Trigonometry here: brainly.com/question/24259483
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