Which of these shapes has an area that is different from the rest?
Sol:
Option A)
Area of Square = a2
= 22
= 4 cm2
Option B)
Area of rectangle 1 = lxb
= 2x1
= 2 cm2
Area of rectangle 2 = lxb
= 2x1
= 2 cm2
Total Area = Rectangle 1 + Rectangle 2
= 2 cm2 + 2 cm2
= 4 cm2
Option C)
Area of square 1 = a2
= 1 cm2
Similarly area for Square 2, Square 3 and Square 4 = 1 cm2
Total Area of the Square = area of (Sq1 + Sq2 +Sq3 +Sq4 )
= 1 cm2 + 1 cm2 +1 cm2 + 1 cm2
= 4 cm2
Option D)
Area of Triangle 1 = 1/2 x HB
= 1/2 x (2 cm x 2 cm)
= 2 cm2
Area of Triangle 2 = 1/2 x HB
= 1/2 x (2 cm x 2 cm)
= 2 cm2
Total Area of Triangle = 2 cm2 + 2 cm2
= 4 cm2
Hence Option E is the correct answer.