Mathematics
Grade9
Easy
Question
Area of a rhombus is 120 square units. If the lengths of the diagonals are 10 units and (7x + 3) units, then find the value of x.
- 3
- 7
- 10
- 6
The correct answer is: 3
Area of the rhombus = 120 cm2
⋅ (d1d2) = 120
Substitute 10 for d1 and (7x + 3) for d2.
⋅ [10(7x + 3)] = 120
5(7x + 3) = 120
Divide each side by 5.
7x + 3 = 24
Subtract 3 from each side.
7x = 21
Divide each side by 7.
x = 3
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