a 68 m long rope is used to make rhombus on the ground . distance between a pair of opposite corners is 16m what is the distance between the other corners? what is the area of the ground bounded by rope ?
Answers
Answered by
3
• The perimeter is given as 68 cm. We know that all the four sides of a rhombus are equal. So length of one side = 68/4 = 17 cm.
• Distance between one pair of opposite corners is given as 16 cm. This is the length d1 of one diagonal
• Let DB = 16 cm. Then DO = OB = 8 cm (∵ diagonals of a rhombus are perpendicular bisectors of each other)
• We can apply the Pythagoras theorem to the ΔOBC:
• OC2 + 82 = 172 ⇒ OC2 = 172 – 82 = 289 – 64 = 225 ∴ OC = √225 = 15
• Now, OA will also be 15 cm. So distance between the other pair of opposite corners = d2 = AC = 15 + 15 = 30 cm
• To find the area: ( refer the above attachment )
Attachments:
Similar questions