Acontractor has 48 meters of fencing to use as the perimeter of a rectangular garden. the length of one side of the garden is represented by x, and the area of the garden is 108 square meters. determine, algebraically, the dimensions of the garden in meters

If we let y be the dimension of the other side, then the perimeter has the formula
P = 2x + 2y
48 = 2x + 2y

The area of the rectangle has the formula
A = xy
108 = xy

So,
x = 108/y

Substituting this to the first equation
48 = 2(108/y) + 2y
48y = 216 + 2y^2
2y^2 - 48y + 216 = 0

Solving the quadratic equation:
y = 18 or 6

Either of the two is the correct answer for y, the value of x would just be the other. So, the dimensions of the garden is
18 m x 6 m

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice