Question

4)
10.1 in
6.8 in
6.7 in
6.8 in
2.7 in
surface area =

Explanation:

Step1: Calculate the area of the parallelogram

The formula for the area of a parallelogram is \(A = base\times height\). Here, the base of the parallelogram is \(b = 10.1\) in and the height \(h=6.7\) in.
\(A_{parallelogram}=10.1\times6.7 = 67.67\) \(in^{2}\)

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base of the triangle \(b = 2.7\) in and the height \(h = 6.7\) in.
\(A_{triangle}=\frac{1}{2}\times2.7\times6.7=\frac{18.09}{2}=9.045\) \(in^{2}\)

Step3: Calculate the total surface area

The total surface area \(A = A_{parallelogram}+A_{triangle}\)
\(A=67.67 + 9.045=76.715\) \(in^{2}\)

Answer:

\(76.715\) \(in^{2}\)