Turn on thread page Beta
    • Thread Starter
    Offline

    3
    ReputationRep:
    Hi all,

    Reading this one, I can see that there are 3 separate instances where there are 1/4 of the individual triangles shaded, however can anyone explain this to me in layman's terms. I'm continually getting lost in finding the solution, alternatively (& even better), if someone can suggest material in which this might be explained step by step with additional examples that would be great. I just find the example quite vague & difficult to follow.

    Thanks in advance!
    Attached Images
     
    Offline

    11
    ReputationRep:
    I have modified the image so to make my advice clearer:

    The largest shaded area is 1/4 (as it is a quater of the triangle ABC).

    ------------------------------------------------------------------------------------------------

    Now in the attached image to this post, the blue triangle is proportional to the red traiangle, the blue triangle is a quater of the area of triangle ABC.

    Note the blue triangle is just triangle ABC but shrunk by a quarter and turned upside down.

    What is the area of the second largest shaded triangle IN PROPORTION to the blue triangle? A quater of the blue triangle.

    Can you carry on from here?
    Attached Images
     
    • Thread Starter
    Offline

    3
    ReputationRep:
    Thanks for the reply Simon, that's helpful. Is another way to look at it as follows:

    Essentially breaking it up into 4 larger triangles (so blue x4 makes the larger red triangle) - the blue triangle contains 16 of the smallest segments based on the outlining (of which 5 are shaded), we can then see that as the top portion of the triangle has been shaded (which would be 16 of the smaller segments), we could then total the 3 shaded parts (16+4+1 = 21) & 16x4 = 64, giving us 21/64. Would that score points & hopefully I've been clear there in my workings?

    Thanks
    James
    Offline

    11
    ReputationRep:
    That sounds good as well, although some simple explanation of how you obtained each value would be key.
    Offline

    8
    ReputationRep:
    Hi , haven't read to see if it has been thoroughly answered already but you can see, for the shaded triangles,:

    The biggest one is a quarter of the whole triangle = 1/4

    The second biggest one is a quarter of a quarter of the triangle = 1/4 x 1/4 = 1/16 (of the whole triangle)

    And the smallest one is a quarter of a quarter of a quarter of a triangle = 1/4 x 1/4 x 1/4 = 1/64 ( of the whole triangle)

    Adding those all together ( 1/4 + 1/16 + 1/64) you get 21/64 of the whole triangle
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: November 14, 2017

University open days

  1. University of Bradford
    University-wide Postgraduate
    Wed, 25 Jul '18
  2. University of Buckingham
    Psychology Taster Tutorial Undergraduate
    Wed, 25 Jul '18
  3. Bournemouth University
    Clearing Campus Visit Undergraduate
    Wed, 1 Aug '18
Poll
How are you feeling in the run-up to Results Day 2018?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.