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  4. A rectangle is inscribed in a circle with a diameter lying along the line 3y = x + 7. If the two adjacent vertices of the rectangle are (-8, 5) and (6, 5), then the area of the rectangle (in sq. units) is :

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Q. A rectangle is inscribed in a circle with a diameter lying along the line $3y = x + 7$. If the two adjacent vertices of the rectangle are $(-8, 5)$ and $(6, 5)$, then the area of the rectangle (in sq. units) is :

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Solution:

$\frac{3\left(a+5\right)}{2} = -1+7 $
$ a+5 = \frac{2\left(6\right)}{3} $
$a = - 1$
sides = $6$ and $14$
$ \Rightarrow A = 84 $

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