Calculate the area of the shaded region in each of the figures given below.
Fig. (ii) has uniform width of 3 cm and it is given that AB = CD.
(i) Complete the rectangle as shown below:
Area of the shaded region = [Area of rectangle ABCD - Area of rectangle EFGD] sq. units
= [(AB BC) - (DG GF)] m2
= [(24 m 19 m) - {(24 - 4) m 16.5 m} ]
= [(24 m 19 m) - (20 m 16.5) m]
= (456 - 330) m2 = 126 m2
(ii) Complete the rectangle by drawing lines as shown below:
Area of the shaded region ={(12 3) + (12 3) + (5 3) + {(15 - 3 - 3) 3)} cm2
= { 36 + 36 + 15 + 27} cm2
= 114 cm2
Area of the shaded region = [Area of rectangle ABCD - Area of rectangle EFGD] sq. units
= [(AB BC) - (DG GF)] m2
= [(24 m 19 m) - {(24 - 4) m 16.5 m} ]
= [(24 m 19 m) - (20 m 16.5) m]
= (456 - 330) m2 = 126 m2
(ii) Complete the rectangle by drawing lines as shown below:
Area of the shaded region ={(12 3) + (12 3) + (5 3) + {(15 - 3 - 3) 3)} cm2
= { 36 + 36 + 15 + 27} cm2
= 114 cm2