Question

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

Answer 1

The answer is ten, the second one

Answer 2

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