I love these problems; it's like breaking secret code! Just separate the numbers and the closest words next to them. (For example, '2 more' '5 times') 'More' means 'to add' and 'times' means 'to multiply'.
So far we have: + 2 and 5 x. Next let's find out what we're supposed to multiply 5 with: it's the variable "w". Now we have +2 and 5w (5 x "w") and to make it read more easily we say 5w + 2.
Chile
When you are writing an equation from a verbal description, you almost always just write it as you read it. But "less than" is an exception to the rule, as it would follow, not precede, the other term in the expression. "Is" always means "=". Example: "The length is 2 more than 4 times its width" would be: L = 2 + 4W, or you could also write it as L = 4W + 2. Example: "The length is 5 less than the width" would be: L = W - 5. You cannot write it any other way. By looking at these two examples you should be able to answer your question.
6x + 14
7
I assume you mean that the length is less than four times the width. Here is the outline. First assume, for simplicity, that the length is EQUAL to 4 times the width. Write two equatios for that - one for the perimeter, one for the area. Solve it, and find the corresponding area. That's basically the minimum area. At the other extreme, make the length equal to the width, and solve again. That would be the maximum area.
Width = 10cm.. i think Length = 68cm
Chile
Let the width of rectangle is w cm (Length is 12 cm more) so length is w + 12 Perimeter = 16 times of width 2 (length + width) = 16 * width Rest of the homework, do yourself.
When you are writing an equation from a verbal description, you almost always just write it as you read it. But "less than" is an exception to the rule, as it would follow, not precede, the other term in the expression. "Is" always means "=". Example: "The length is 2 more than 4 times its width" would be: L = 2 + 4W, or you could also write it as L = 4W + 2. Example: "The length is 5 less than the width" would be: L = W - 5. You cannot write it any other way. By looking at these two examples you should be able to answer your question.
Width = 9 inches Length = 30 inches
6>4 If that's six more than 4 times a number, the answer is 4x + 6
3x + 8
3x + 2
6x + 14
3x^2 plus 5x
length = 22 meters and width = 6 meters
7