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

Answer:

1056

Step-by-step 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

$1056 = 33 \times 32$

As the area of rectangle is

$= length \times width$