Question

5. Two vertices of a rectangle are (8,-5) and (8,7). If the area of the rectangle is 72 square units, name the possible location of the other two vertices. 6. A triangle with two vertices located at (5,-8) and (5, 4) has an area of 48 square units Determine one possible​

Answer 1

Answer:

#5

Given vertices:

• (8, -5) and (8, 7)

These have same x-coordinate, so when connected form a vertical segment.

The length of the segment is:

• 7 - (-5) = 12 units

The area of the rectangle is 72 square units, so the horizontal segment has the length of:

• 72/12 = 6 units

Possible location of the remaining vertices (to the left from the given):

• (8 - 6, -5) = (2, -5)

and

• (8 - 6, 7) = (2, 7)

#6

Similarly to previous exercise:

• (5, -8) and (5, 4) given with the area of 48 square units

The distance between the given vertices:

• 4 - (-8) = 12 units

The other side length is:

• 48/12 = 4 units

Possible location of the other vertices (to the right from the given):

• (5 + 4, -8) = (9, -8)

and

• (5 + 4, 4) = (9, 4)