Question

how to find the area of the colored square? side of outer squre is 15​

Answer 1

Answer:90 square

Step-by-step explanation: Area of whole square =15^2=225

Area of two triangle =2*1/2*15*5=75.

Area of remaining parallelogram =225-75=150.

One side or base of this parallelogram = √(15^2+5^2)=√250

Now side of the coloured square = height of this parallelogram =150÷√250=9.4868

So the Area of coloured square = 9.4868^2=90.