If we join 2 squares, the new shape formed will be a- a) Square b) Rectangle c) Triangle d) None of these
Answers
Correct option:
b) Rectangle
When we join or draw two squares touching each other, we will get a rectangle.
Given,
Initial shapes = 2 squares
To find,
The new shape obtained, after joining the two initial shapes.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Let,
The side of initial squares = a unit
According to the diagram,
ABCD is the final shape after joining.
AXYD and BXYC are two inital square segments of the final shape.
As, AXYD and BXYC are initially squares.
AX = XB = BC = CY = YD = AD = a unit
Now, in ABCD shape
AD side = a unit
BC side = a unit
AB side = (AX+XB) = a+a = 2a unit
CD side = (CY+YD) = a+a = 2a unit
Furthermore,
AD and BC are opposite sides.
AB and CD are opposite sides.
The above mentioned two pairs are equal also.
Angles (ABC,BCD,CDA,DAB) = 90° (As, the inital segments are squares, and all internal angles of a square are 90°)
So,
Opposite sides of ABCD are equal and all internal angles are 90°.
This resembles the characteristic of a rectangle.
Hence, the new shape will be a rectangle. (option b)
