The perimeter of a rhombus is 45 cm. If its height is 8 cm, calculate its area.

Let length of each side of rhombus = x cm.

Given,

Perimeter = 45 cm

⇒ x + x + x + x = 45

⇒ 4x = 45

⇒ x = $\dfrac{45}{4}$ cm

By formula,

Area of rhombus = base × height

Substituting the values we get,

Area of rhombus = $\dfrac{45}{4}$ × 8 = 90 cm².

Hence, area of rhombus = 90 cm².