Question

find the area of the figure below, formed from a triangle and a rectangle, in square millimeters.
156 312 252 216

Explanation:

Step1: Calculate the area of the rectangle

The area formula for a rectangle is \(A = length\times width\). Here, the length is \(12\) mm and the width is \(6\) mm. So, \(A_{rectangle}=12\times6 = 72\) \(mm^{2}\)

Step2: Calculate the area of the triangle

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). The base is \(16\) mm and the height is \(18\) mm (since \(6 + 12=18\)). So, \(A_{triangle}=\frac{1}{2}\times16\times18=144\) \(mm^{2}\)

Step3: Calculate the total area

The total area \(A = A_{rectangle}+A_{triangle}\). Substitute the values: \(A=72 + 144=216\) \(mm^{2}\)

Answer:

216