Question

5:4 and a width of 50 inches Find the area of each rectangle using the given information (A=W x H) given the ratio W:H is 5:4 and a width of 50 inches

Answer 1

Given:

`\begin{gathered} W\colon H=5\colon4 \\ W=50\text{inches} \end{gathered}`

To get the area of the rectangle, we need to get the side H.

`\begin{gathered} W\colon H=5\colon4 \\ 5\colon4=50\colon H \\ (5)/(4)=(50)/(H) \\ \text{Cross multiplying the equation,} \\ 5* H=4*50 \\ 5H=200 \\ H=(200)/(5) \\ H=40\text{inches} \end{gathered}`

Hence, the area of the rectangle is;

`\begin{gathered} A=W* H \\ A=50*40 \\ A=2000in^2 \end{gathered}`

Therefore, the area of the rectangle is 2000 square inches.