Mathematics
Find the area and perimeter of the figure (iii) given below in which all corners are right angles and all measurements are in cm.
Mensuration
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Answer
The points are labelled on the figure as shown below:
Area of rectangle BCDE = l × b
= ED × CD
= 5 × 2
= 10 cm2.
Area of rectangle FGHI = l × b
= FG × GH
= 3 × 2
= 6 cm2.
Area of rectangle JKLM = l × b
= JK × KL
= 5 × 2
= 10 cm2.
Area of rectangle ABMN = l × b
= AB × AN
(From figure AB = AC - BC = 7 - 5 = 2 cm.)
= 2 × 12
= 24 cm2.
From figure,
Total area = Area of rectangle BCDE + Area of rectangle FGHI + Area of rectangle JKLM + Area of rectangle ABMN
= 10 + 6 + 10 + 24
= 50 cm2.
From figure,
The vertical distance between C and L will be equal to vertical distance between A and N,
So ignoring the vertical sides in right side and replacing it will CL.
Perimeter = AC + DE + FG + HI + JK + LN + NA + CL
= 7 + 5 + 3 + 3 + 5 + 7 + 12 + 12
= 54 cm.
Hence, area = 50 cm2 and perimeter = 54 cm.
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