Mathematics
Find the perimeter and area of the figure (i) given below in which all corners are right angles.
Mensuration
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Answer
From figure,
Area of rectangle ABFG = l × b
= BF × AB
= (BC + CF) × AB
= (4 + 1.5) × 2
= 5.5 × 2
= 11 m2.
Area of rectangle CDEF = l × b
= CD × DE
= 4 × 1.5
= 6 m2.
Total Area = Area of rectangle ABFG + Area of rectangle CDEF
= 11 + 6 = 17 m2.
From figure,
AG = BF, GF = AB and FE = CD (As opposite sides of rectangle are equal.)
Perimeter of figure = AB + BC + CD + DE + EF + FG + AG
= 2 + 4 + 4 + 1.5 + 4 + 2 + 5.5
= 23 m.
Hence, perimeter = 23 m and area = 17 m2.
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