Question

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

Answer 1

Answer:

Area of rectangle is 84unit²

Step-by-step explanation:

Given points are (-8, 5) and (6,5) in which y-coordinate is same , i.e . these point lie on horizantal line y = 5

Let (-8,β) and (6,β) are the coordinate of the other vertices of rectangle as shown in the figure ,since the mid-point of line joining points (-8,5) and (6,β) lies on the line 3y = x + 7

∴ 3(5+β/2) = -8 + 6/2 +7

• => 15 + 3β = -2 + 14
• => 15 + 3β = -2 + 14
• => 3β = -3
• => β = -1

Now , area of rectangle = base × height = |-8-6 |×| β -5| = 14×6

= 14×6 = 84unit²

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Answer 2

Answer:

The answer of this question is 84 unit square.