By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

(i) Splitting the U-shape figure into three rectangles:

Rectangle DEFG: length = 5 cm, breadth = 1 cm

Area = 5 × 1 = 5 sq. cm

Rectangle JIHG: length = 2 cm, breadth = 1 cm

Area = 2 × 1 = 2 sq. cm

Rectangle ABCD: length = 2 cm, breadth = 1 cm

Area = 2 × 1 = 2 sq. cm

Total area of figure (i) = 5 + 2 + 2

= 9 sq. cm

Hence, the area of figure (i) is 9 sq. cm.

(ii) Splitting the figure:

As, LC = 4 and EM = 3 = FD = LF + LD

IF + FL = JK = 3

HG = IF = 2

$\Rightarrow$ 2 + FL = 3

Therefore, FL = 1

Now, LC = 4, FL + LD = 3

$\Rightarrow$ LD = 2

LD + DC = 4

2 + DC = 4

$\Rightarrow$ DC = 2

Rectangle ABCD: length = 2 cm, breadth = 4 cm

Area = 2 × 4 = 8 sq. cm

Rectangle HIGF: length = 2 cm, breadth = 1 cm

Area = 2 × 1 = 2 sq. cm

Square MEFD: length = 3 cm, breadth = 3 cm

Area = 3 × 3 = 9 sq. cm

Rectangle IJKL: length = 3 cm, breadth = 3 cm

Area = 3 × 3 = 9 sq. cm

Total area of figure (ii) = 8 + 2 + 9 + 9

= 28 sq. cm

Hence, the area of figure (ii) is 28 sq. cm.