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.

• A. 3 units
• B. 7 units
• C. 6 units
• D. 5 units

Answer 1

The correct option is A 3 units

Given
Area of the rhombus = 120 cm²
Length of one diagonal = 10 units
Length of other diagonal = (7x + 3) units

Area of rhombus = $\frac{1}{2}$$\times$(product of diagonals)

$120=\frac{1}{2}\times 10\times (7x+3)$

$120=5\times (7x+3)$

$\Rightarrow (7x+3)=\frac{120}{5}=24$

$\Rightarrow 7x=21$

x = 3

Therefore, the value of x is 3 units.