You plant a rectangular rose garden along the side of your garage. you enclose 3 sides of the garden with 40 feet of fencing. the total area of the garden is 100 square feet. find the possible dimensions of the garden. round to the nearest tenth.

Let x be the length of the garden

and y be the width of the garden.

since you only enclose 3 sides of the garden by a 40 ft fence. so the equation for this is:

2x + y = 40

and the area of the garden is 100 sq ft, so in equation

xy = 100

from equation 1, 2x + y = 40

y = 40 - 2x

substitute to equation 2

xy = 100

x (40 - 2x) = 100

40x - 2x^2 = 100

2x^2 - 40x + 100 = 0

x = 2.9 ft

y = 34.5 ft