A rectangular garden 200 square feet in area is to be fenced o against rabbits. Find thedimensions that will require the least amount of fencing given that one side of the garden isalready protected by a barn

20 ft by 10ft

Step-by-step explanation:

Area of the garden =200 square feet

Let the dimensions of the garden be x and y

Area, xy=200

Since one side is already protected by a barn,

Perimeter of the garden=2x+y

The minimum point of P(y) is the point where its derivative equals zero.

y=20feet

Recall:

xy=200

20x=200

x=10feet

The dimensions of the garden that will require minimum fencing is 20 ft by 10ft

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet