leriscepowell6931 leriscepowell6931
  • 03-11-2017
  • Mathematics
contestada

The area of rhombus abcd is 72 square units. ec = 8 units and db = x – 1. what is the value of x? 9 10 14 16

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edelmreilly edelmreilly
  • 18-07-2018

The answer is ten, the second one


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Аноним Аноним
  • 15-11-2018

Solution: A rhombus abcd  whose area is 72 square units.

Diagonals ac and bd intersect each other at point e.

Also, db= x-1,

ec = 8 units, so, ac=16 units → as diagonals of rhombus bisect each other.

→Area of Rhombus = 1/2 × Product of Diagonals

→ 72 = 1/2×16×(x-1)

→144= 16 (x-1)

Dividing both sides by 16,we get

→ x-1=9

→ x=9+1

→ x=10 units


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