A Fractional Pink Shade

What fraction of this figure is shaded with the pink color?

Get the answer here!


Author : Ed Southall of Solve My Maths

Area Of A Fractional Pink Shade

A look at the question first!

Let's first recall the formula for the calculation of area of a triangle.

Area of triangle =  1/2 x Base x Height

Let's assume the side of the square is 1.

Now the triangle with the pink shade & triangle opposite to it are similar triangles. Similar triangles are triangle whose sides are in proportion with each other.

Since here base of pink triangle is double of un shaded opposite triangle, the height of pink triangle must be double of that smaller triangle.

But together, heights of both triangles must be equal to side of the square i.e. 1.

And hence, height of smaller triangle must be 1/3 & that of pink 2/3. (h + 2h = 3 ; h = 1/3).

So,

Area of Pink Triangle = 1/2 x Base x Height = 1/2 x 1 x 2/3 = 1/3.

So the area of pink shaded part is 1/3rd of total area occupied by square.



 

Tricky Logical Mathematical Puzzle

Can you solve this?

 
Do you too think answer is 19 or 26 ? Here is the right one!

Answer of Tricky Logical Mathematical Puzzle

Or a look at the question itself?


Let's look at the puzzle once again.

From first equation, it is clear that figure = 15. But the figure itself made up of square (4 sides) + polygon (5 sides) + hexagon (6 sides) = 15.

From second equation, we have bunch of 4 bananas = 4 i.e. 1 banana = 1.

And from third equation, we have 3 hours in clock = 3 i.e. 1 hours  = 1.

Hence, in fourth equation, value of clock = 2, 3 bananas = 3, figure = sides of hexagon + sides of pentagons = 6 + 5 = 11.

2 + 3 + 3 x 11 = 38

Hence, answer is 38.