First: Find x
I used the larger rectangle first but you can do either one.
I added (8x+5) + (8x+5) + (6x+7) + (6x+7) =360
I made the sides equal to 360 because a square’s interior angles are equivalent to 360 degrees.
(8x+5) + (8x+5) + (6x+7) + (6x+7) =360
28x+24 = 360
28x = 336
X = 12
Next: Implement 12 in for x in every equation and follow the formula for a rectangle’s area.
A = b*h
BIG SQUARE:
(8(12)+5) + (8(12)+5) + (6(12)+7) + (6(12)+7)
=360
LITTLE SQUARE:
2((2(12)+5) + (6(12)+7)) = 90
Lastly: Subtract the little squares area from the biggest square
360 - 90 = 270
