Answer:
1a. 13 ft
1c. Not enough information
Step-by-step explanation:
A parallelogram is a quadrilateral (4-sided shape) with opposite sides that are parallel and equal. A rectangle is an example of a parallelogram which has right angles. Given the perimeter and one of the side lengths, we can solve for the remaining side.
1a. 104 = 39 + 39 + x + x
104 = 78 + 2x
2x = 26
x = 13
1b. Draw a parallelogram with one pair of sides being 13 feet long and the other pair of sides being 39 feet long.
1c. There's not enough information to solve this problem, because we don't know the angles of the parallelogram. Also, the diagonals are necessarily equal, unless the parallelogram is also a rectangle, in which case, we can use Pythagorean theorem to find the length.
c² = 13² + 39²
c² = 1690
c = 41.11
