Designing a Garden In this activity, you will apply mathematics to problems arising in everyday life and communicate mathematical ideas using multiple representations.

Part A
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.

Question 1
Write expressions to represent the length and width of Melissa’s vegetable garden in terms of x.

Question 2
Write an expression to represent the perimeter of Melissa’s garden in terms of x.
Type the correct answer in numerals instead of words.

Question 3
If the area of the vegetable garden is 170 square feet, which equation could be use to find the length of the tomato patch?

Question 4
Melissa wants to make a table representing the area of her vegetable garden for a variety of different lengths of the tomato patch. She uses her area expression to create the table. Use numerals instead of words. Do not round your decimal answers.