The expressions for the length and the width of the rectangular garden are <u>3x + 2 feet</u>, and <u>x + 5 feet</u> respectively where x is the length of the square patch for tomatoes.
A square is a quadrilateral with all four sides equal, and all four angles at 90°, whereas a rectangle is a quadrilateral with opposite pair of sides equal, and all four angles at 90°.
In the question, we are informed that Melissa is planning a rectangular vegetable garden with a square patch for tomatoes.
The side of the square is given to be x feet.
We are asked to write expressions for the length and width of the rectangular garden.
For the length of the rectangle:-
We are informed that she wants the length of the garden to exceed three times the length of the tomato patch by 2 feet.
Thus, the length of the garden can be shown as the expression <u>3x + 2 feet</u>.
For the width of the rectangle:-
We are informed that she also wants the garden's width to exceed the width of the tomato patch by 5 feet.
Thus, the width of the garden can be shown as the expression <u>x + 5 feet</u>.
Thus, the expressions for the length and the width of the rectangular garden are <u>3x + 2 feet</u>, and <u>x + 5 feet</u> respectively where x is the length of the square patch for tomatoes.
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The provided question is incomplete. The complete question is:
"Melissa is planning a rectangular vegetable garden with a square patch for tomatoes. She wants the length of the garden to exceed three times the length of the tomato patch by 2 feet. She also wants the garden's width to exceed the width of the tomato patch by 5 feet.
Let x represent the length, in feet, of the square tomato patch.
Write expressions to represent the length and width of Melissa's vegetable garden in terms of x.
Enter the correct answer in the box."
