Question

square has been divided into four rectangles. The area of the two rectangles
are given inside the figures. If the length of the sides of the rectangles are
integers what is the area of the whole square?
(A) 120 sq unit (B) 144 sq unit (C) 100 sq unit (D) 121 sq unit​

Answer 1

Then, clearly,

Then, clearly,Area of the path = Area of rectangle EFGH – Area of rectangle ABCD

Then, clearly,Area of the path = Area of rectangle EFGH – Area of rectangle ABCDFrom the figure, we have

Then, clearly,Area of the path = Area of rectangle EFGH – Area of rectangle ABCDFrom the figure, we haveEF = 90 + 5 + 5