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.

Let's assume

length of rectangle =L

width of rectangle =W

You enclose 3 sides of the garden with 40 feet of fencing

so, we get

now, we can solve for L

we know that

area of rectangle is

now, we can plug

now, we can solve for W

we can use quadratic formula

we can take anyone value ..because both are giving positive value

first dimensions:

now, we can find L

so, length is 34.142feet

width is 2.929 feet

Second dimensions:

now, we can find L

so, length is 5.858feet

width is 17.071 feet