Mathematics
Find the perimeter and area of the figure (ii) given below in which all corners are right angles.
Mensuration
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Answer
The points are labelled on the figure as shown below:
Area of rectangle ABIJ = l × b
= AB × BI
= AB × (BC + CI)
= 3 × (5 + 2)
= 3 × 7 = 21 m2.
Area of rectangle EFGH = l × b
= EF × FG
= 2 × 7 = 14 m2.
Area of rectangle CDHI = l × b
= CD × DH
= 8 × 2 = 16 m2.
Total area = Area of rectangle ABIJ + Area of rectangle EFGH + Area of rectangle CDHI
= 21 + 14 + 16
= 51 m2.
Perimeter of figure = AB + BC + CD + DE + EF + FG + GH + HI + IJ + JA
= 3 + 5 + 8 + 5 + 2 + 7 + 2 + 8 + 3 + 7
= 50 m.
Hence, perimeter = 50 m and area = 51 m2.
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