Question

Find the area of each rectangle using the given information.(A=W x H)Question 9:6 and a height of 36 inches.

Answer 1

The rule of the area of a rectangle is

`A=W* H`

W is the width

H is the height

Since the ratio between width and height is 9: 6 and the height is 36 inches, then we will use the ratio method

`\begin{gathered} W\rightarrow H \\ 9\rightarrow6 \\ W\rightarrow36 \end{gathered}`

By using the cross multiplication

`\begin{gathered} W*6=9*36 \\ 6W=324 \end{gathered}`

Divide both sides by 6

`\begin{gathered} (6W)/(6)=(324)/(6) \\ W=54 \end{gathered}`

Then the width of the rectangle is 54 inches

Substitute W by 54 and H by 36 in the rule of the area to find it

`\begin{gathered} A=54*36 \\ A=1944inches^2 \end{gathered}`

The area of the rectangle is 1944 square inches