1 yd = 3 ft
This means the unit cost per feet is $4.99/3.
Let 'x' represent the length of the material in feet that you can be with $30.
(4.99/3)*x <= 30
The magnitude of the vectors is 7.2
The magnitude of a vector is resolved by using a formula
<h3>Magnitude of a Vector</h3>
This is the displacement between two vectors and can be calculated as

where x is the magnitude of displacement between y and z.
In this question, the vectors are
Let's find the magnitude of this vector

The magnitude of the vectors is 7.2
Learn more on magnitude of vectors here;
brainly.com/question/3184914
brainly.com/question/8536161
We need to work out first the scale factor of the side length
Side MN correspond to the side JK
Side MN = 3.5 cm
Side JK = 14 cm
Scale factor = 14/3.5 = 4
Side OM correspond to side LJ
Side OM = 12 cm
Side LJ = 12 × 4 = 48 cm