Answer:
A
Step-by-step explanation:
Answer:
The perimeter of a parallelogram = 58 ft
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel and equal in length. Opposite angles are also equal.
Area of parallelogram = base × height
Area = 162 ft²
area = bh
b = ?
h = 9 ft
162 = 9b
divide both sides by 9
b = 162/9
b = 18 ft
The perimeter of a parallelogram = 2(b + s)
where
b = base
s = the other sides
The perimeter of the parallelogram = 2(b + s)
The perimeter of the parallelogram = 2(18 + 11)
The perimeter of the parallelogram = 2(29)
The perimeter of the parallelogram = 58 ft
In a parallelogram, the opposite angles will be congruent to each other.
In this parallelogram, angles B and C are congruent, and angles A and D are congruent.
We will work on angles B and C first. Set the two angles to equal each other:

Subtract 6 from both sides:

Subtract 6x from both sides:

Divide both sides by 6 to get x by itself:

x will equal 10.
Set angles A and D to equal each other:

Divide both sides by 3 to get y by itself:

y will equal 18.
The x and y values that make this quadrilateral a parallelogram will be x = 10, and y = 18.