Question

A landscaper is designing a rectangular garden. In the garden, he plans to have 4 rectangular planting boxes. The length of each rectangular box is twice as long as it is wide(w). The length of the entire garden area will have to be 2 meters less than 5 times the width(w) of one planting box. The width of the entire area will be 3 meters more than the width of a planting box. Draw a diagram. Then find a expression for the area of one planting box, and the area of the entire garden area. Lastly, find an expression for the area of the garden area that is not occupied by a planting box.

Answer 1

Explanation:

width = y

length = y+5

area = 104 = y x (y+5) = y^2 + 5y

y^2 + 5y -104 = 0

(y-8)(y+13)= 0

y= 8 because can't have negative lengths

length = 8 + 5 = 13