Given that :

Area of the rectangle is $\"\"$ ---------->(1)

Ratio of the length and width is $\"\"$

$\"\"$

Multiply b to each side

$\"\"$

Cancel common terms

$\"\"$

Substitute the value $\"\"$ in (1)

$\"\"$

Substitute the value $\"\"$ in $\"\"$

$\"\"$

So the measurements of the rectangle length and width is 10 m and 38 m.