Polar curves/Area of rectangle

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The discussion revolves around solving a geometry problem involving polar curves and the area of a rectangle. The user calculated the height PQ as 16/3√6 but struggled to determine the length SP, which the mark scheme indicates is 8. The confusion stems from the requirement of calculus for Part C, which is inappropriate for a pre-calculus forum, leading to the thread's relocation for proper context.

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Homework Statement


w4peKxQ.png


Homework Equations

The Attempt at a Solution



Part C is confusing me.

I got the height PQ to be 16/3root6

But I'm lost as to how to find the length SP. The mark scheme has the answer as 8, or (SP/2 = 4 therefore SP = 8) but I still can't figure it out, maybe it's 'cause I've been doing questions all day.

Can someone shed some light on this for me please.
 

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Try ##\theta=0## :rolleyes:
 
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BvU said:
Try ##\theta=0## :rolleyes:
<Content edited by mentor>
Thank you
 
Last edited by a moderator:
trew said:

Homework Statement


View attachment 225862

Homework Equations

The Attempt at a Solution



Part C is confusing me.

I got the height PQ to be 16/3root6

But I'm lost as to how to find the length SP. The mark scheme has the answer as 8, or (SP/2 = 4 therefore SP = 8) but I still can't figure it out, maybe it's 'cause I've been doing questions all day.

Can someone shed some light on this for me please.

Part (c) needs calculus, so should certainly not appear in a "pre-calculus" forum.
 
Ray Vickson said:
Part (c) needs calculus, so should certainly not appear in a "pre-calculus" forum.
Thread moved for this reason.
 

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