Question

The lengths of the sides of these squares are 1 , 4 , 7 , 8 , 9 , 10 , 14 , 15 and 18. What is the area of Morón’s rectangle?

Answer 1

1056

Explanation:

The computation of the area of the rectangle is shown below;

But for that first we have to compute the area of square which is

As we see in the diagram that there are 9 square sides

i.e 1,4,7,8,9,10,14,15 & 18

And, as we know that

Area of Square is

`= Side^2`

`1^2 = 1`

`4^2 = 16`

`7^2 = 49`

`8^2 = 64`

`9^2 = 81`

`10^2 =100`

`14^2 = 196`

`15^2 = 225`

`18^2 = 324`

So, the Total Area is

= 1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324

= 1056

Area of rectangle = 1056

So, it can come from

`1056 = 33 * 32`

As the area of rectangle is

`= length * width`