Solution:
Given:
[tex]\begin{gathered} W\colon H=5\colon4 \\ W=50\text{inches} \end{gathered}[/tex]
To get the area of the rectangle, we need to get the side H.
[tex]\begin{gathered} W\colon H=5\colon4 \\ 5\colon4=50\colon H \\ \frac{5}{4}=\frac{50}{H} \\ \text{Cross multiplying the equation,} \\ 5\times H=4\times50 \\ 5H=200 \\ H=\frac{200}{5} \\ H=40\text{inches} \end{gathered}[/tex]Hence, the area of the rectangle is;
[tex]\begin{gathered} A=W\times H \\ A=50\times40 \\ A=2000in^2 \end{gathered}[/tex]
Therefore, the area of the rectangle is 2000 square inches.
