Question

The area of the rhombus is 128 sq.cm and the length of one diagonal is 32 cm. The length of the other diagonal is

Options

• 12 cm

• 8 cm

• 4 cm

• 20 cm

Answer 1

8 cm

Explanation;

Hint:

${\displaystyle \frac{1}{2}\times {\text{d}}_1\times {\text{d}}_2}$ = 128

${\displaystyle \frac{1}{2}\times 32\times {\text{d}}_2}$ = 128

⇒ d₂ = ${\displaystyle \frac{128\times 2}{32}}$

= 8 cm