Q18 of 99 Page 269

Length of height of rhombus is 4 cm. and length of side is 5 cm. What is the area of field in the shape of rhombus.


Given, Length of height of rhombus is 4 cm. and length of side is 5 cm.


Hence, DB= 4cm and then BO = 2cm


By Pythagoras theorem,


BO2 + AO2 = AB2


22 + AO2 = 52


AO2 = 25 – 4


AO =


AO = 4.6cm


Hence, AC = 2.AO


AC = 2×4.6


AC = 9.2 cm


Area of rhombus = ×4×9.2


= 18.4 sq. cm


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