Question

if ( x = 15 ) units and ( h = 12 ) units, then what is the area of the rhombus pictured above?
a. 180 square units
b. 225 square units
c. 45 square units
d. 60 square units
note: figure is not drawn to scale.

Explanation:

Step1: Recall the area formula of a rhombus

The area formula of a rhombus is \(A = base\times height\).

Step2: Substitute the given values into the formula

Given \(base=x = 15\) units and \(height = h=12\) units. Then \(A=15\times12\).

Step3: Calculate the product

\(15\times12=(10 + 5)\times12=10\times12+5\times12=120 + 60=180\) square units.

Answer:

A. 180 square units