Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a maximum of 150 feet of fencing. The system of inequalities that models the possible lengths, l, and widths, w, of her garden is shown.

w ≥ 10

2l + 2w ≤ 150

Which length and width are possible dimensions for the garden?

l = 20 ft; w = 5 ft

l = 20 ft; w = 10 ft

l = 60 ft; w = 20 ft

l = 55 ft; w = 30 ft

?

Question

Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a maximum of 150 feet of fencing. The system of inequalities that models the possible lengths, l, and widths, w, of her garden is shown.

      w ≥ 10

2l + 2w ≤ 150

Which length and width are possible dimensions for the garden?

l = 20 ft; w = 5 ft

l = 20 ft; w = 10 ft

l = 60 ft; w = 20 ft

l = 55 ft; w = 30 ft

?

mathmale · Answer

Which answer choice could not possibly be correct?  Why?

devilchild345 · Answer

the correct answer is B. l = 20 ft; w = 10 ft because according to the first inequality says that w has to be greater than or equal to 10

mathmale · Answer

Consider graphing both 2l + 2w ≤ 150 and w equal to or greater than 10.  shade the solution area.   Then  check each possible set of dimensions by plotting it.  If the point plotted is within the shaded solution area, you've got a solution.;