Mathematics Question and Solution
Calculating ratio area yellow square to area red square.
Let the side length of the inscribed yellow square be 2 units.
It implies yellow square area is;
2²
= 4 square units.
a = (2+x) units.
Where x is the side length of the red inscribed square and a is the side length of the ascribed square.
b = (2-x) units.
Calculating x.
(2+x) ~ x
x ~ (2-x)
Cross Multiply.
x² = 4-x²
2x² = 4
x² = 2
x = √(2) units.
It implies, area red inscribed square is;
x²
= √(2)²
= 2 square units.
Therefore, ratio area yellow square to area red square is;
4:2
= 2:1
= 2
