Question

A geometry student wants to draw a rectangle inscribes in a semicircle of radius 12. If one side must be on the semicircle's diameter, what is the area of the largest rectangle that the student can draw?

Name: a geometry student wants to draw a rectangle inscribes in a semicircle of radius 12 if one side must be on the semicircles diameter what is the area of the largest rectangle that the student 83224
Uploaded: 2022-05-06T05:05:47-08:00
Duration: 7 min 41 s
Channel: Shaiju T
Description: a geometry student wants to draw a rectangle inscribes in a semicircle of radius 12 if one side must be on the semicircles diameter what is the area of the largest rectangle that the student 83224

          A geometry student wants to draw a rectangle inscribes in a
semicircle of radius 12. If one side must be on the semicircle's
diameter, what is the area of the largest rectangle that the
student can draw?

Added by Luis Miguel Y.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Shaiju T

05/06/2022

Step 1

Given that one side of the rectangle is on the diameter of the semicircle, let the length of the rectangle be \(X\) and the width be \(Y\). Using the Pythagorean theorem, we have \(X^2 + Y^2 = 12^2\). Show more…

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A geometry student wants to draw a rectangle inscribes in a semicircle of radius 12. If one side must be on the semicircle's diameter, what is the area of the largest rectangle that the student can draw?