Question

find the perimeter or area of the figure. (application) 5. area =

Explanation:

Step1: Calculate the area of the triangle

The formula for the area of a triangle is \(A_{triangle}=\frac{1}{2}\times base\times height\). Here, the base of the triangle is \(14\) in and the height is \(4\) in. So, \(A_{triangle}=\frac{1}{2}\times14\times4 = 28\) \(in^{2}\)

Step2: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A_{rectangle}=length\times width\). Here, the length is \(18\) in and the width is \(14\) in. So, \(A_{rectangle}=14\times18=252\) \(in^{2}\)

Step3: Calculate the total area

The total area \(A = A_{triangle}+A_{rectangle}\). Substitute the values: \(A=28 + 252=280\) \(in^{2}\)

Answer:

\(280\) \(in^{2}\)