₦airaland ForumWelcome, Guest: Join Nairaland / LOGIN! / Trending / Recent / NewStats: 2,298,348 members, 5,051,398 topics. Date: Monday, 22 July 2019 at 03:02 PM 
Nairaland Forum / Nairaland / General / Education / This Is Treasure Hunt (mr Shape) (222 Views)
They Think I Have Gone,this Will Shock Them(mr Shape) / Many Are Married But Only A Few Can Understand This Math Is A Language(mr Shape) / Just Got This From South Africa Let's See D First Nigerian To Get It (mr Shape) (2) (3) (4)
This Is Treasure Hunt (mr Shape) by Mrshape: 11:49am On May 04 
Find the square , if you can find it, them find its area

Re: This Is Treasure Hunt (mr Shape) by Mrshape: 12:47pm On May 04 
Anyone? 
Re: This Is Treasure Hunt (mr Shape) by femi4: 1:36pm On May 04 
(6X)²+4² = 4² +(4+X)² 3612X+ X²= 16 + 8X + X² 20x = 20 X = 1 Area of the square = 1² = 1unit² 
Re: This Is Treasure Hunt (mr Shape) by Martinez39: 5:20pm On May 04 
A = (24  8√5) ÷ 5 ≈ 1.22229124 unit². Cc. Mrshape 
Re: This Is Treasure Hunt (mr Shape) by Mrshape: 6:45pm On May 04 
Show your workings 
Re: This Is Treasure Hunt (mr Shape) by Mrshape: 7:45am On May 05 
femi4: 
Re: This Is Treasure Hunt (mr Shape) by Mrshape: 7:45am On May 05 
Martinez39:Try again sir 
Re: This Is Treasure Hunt (mr Shape) by Mrshape: 7:54am On May 05 
Should I drop workings? 
Re: This Is Treasure Hunt (mr Shape) by Darivie04(m): 8:27am On May 05 
Mrshape:Yes 
Re: This Is Treasure Hunt (mr Shape) by femi4: 8:46am On May 05 
[quote author=Mrshape post=78115557][/quote]This should do it A rectangle is formed at the centre by merging the two squares. So if x is the length of the square L of the rectangle = 2x b of the rectangle = length of the square = x Diagonal = x√5 Now 4² + 4² = (4+ x√5)² 32 = (4+x√5)² 4+x√5 = 4√2 x = (4√2  4)/√5 Area of the square = x² = (4√2  4 )²/5 = 0.5490unit²

Re: This Is Treasure Hunt (mr Shape) by RolD: 9:15am On May 05 
Re: This Is Treasure Hunt (mr Shape) by Mrshape: 10:13am On May 05 
femi4:No sir, I will post solution soon 
Re: This Is Treasure Hunt (mr Shape) by Mrshape: 10:27am On May 05 
Solution.

Re: This Is Treasure Hunt (mr Shape) by Mrshape: 10:32am On May 05 
If you have any objection or questions regarding my solution feel free to ask. 
Re: This Is Treasure Hunt (mr Shape) by Darivie04(m): 11:34am On May 05 
Mrshape:Can you explain some of the intuition and reasoning behind the solution in words? 
Re: This Is Treasure Hunt (mr Shape) by Mrshape: 11:39am On May 05 
Darivie04: Ok sir I will 
Re: This Is Treasure Hunt (mr Shape) by Mrshape: 11:56am On May 05 
Darivie04:Divide the Shape into two parts by drawing a symmetrical line as shown in the diagram. Since the square is between two circles it is obvious the line will divide the square into a rectangle of top lenght 1/2(lenght of square and the other side of the rectangle will be also equal to the square lenght because it was not divided Next form a right angled triangle by projecting a vertical line from the vartice of the rectangle to interseect at right angle with an horizontal line draw from the center of the circle. Note the vertical line will (radius (2)lenght of square) The horizontal line will be (radius(2) 1/2 lenght of the square) And the hypotenuse is =radius (2) Since the vertical and horizontal line must intersect at right angle (20.5x)^2+(2x)^2=2^2. The rest are algebra...... 
Re: This Is Treasure Hunt (mr Shape) by Mrshape: 12:00pm On May 05 
femi4:From your diagram the diagonal of the right angle must not always pass through both centers of the circles the vartices are touching, That's were you got it wrong sir. 
Re: This Is Treasure Hunt (mr Shape) by femi4: 1:23pm On May 05 
Mrshape:No objection, I tried that route and got some negative values. 1 Like 
Re: This Is Treasure Hunt (mr Shape) by Mrshape: 1:37pm On May 05 
femi4:You are welcome sir. 
(1) (Reply)
2019 Waec Practical Biology Practical Questions And Answers  Biology(expo)runs / 2019 Waec Civic Education[civic Education Expo] Obj And Essay/theory Answers / TASUED Postutme 2019: Cutoff Mark, Date, Eligibility And Registration Details
(Go Up)
Sections: politics (1) business autos (1) jobs (1) career education (1) romance computers phones travel sports fashion health religion celebs tvmovies musicradio literature webmasters programming techmarket Links: (0) (1) (2) (3) (4) (5) (6) (7) (8) (9) Nairaland  Copyright © 2005  2019 Oluwaseun Osewa. All rights reserved. See How To Advertise. 55 