Question

Figure ABCD - Figure EFGH

B 12 C
12
12
F G
6
А
25
DE
12.5 H
Perimeter = 61
Find the perimeter of
Figure EFGH.

Answer 1

• 30.5 units

Explanation:

We know that:

• Trapezoid ABCD has one side that is 25 unit.
• The other 3 sides (AB, BC, and CD) are 12 units.
• EF = 6 units
• EH = 12.5
• Trapezoid ABCD is congruent to Trapezoid EFGH

If the 3 sides of the trapezoid ABCD are the same sides, then side EF, FG, GH must be of the same length because of congruence. The value of FG and GH must be the same length as EF. We can clearly see in the picture that EF is 6 units. Hence, EF is 6 units, FG is 6 units, and GH is 6 units. The work of the perimeter is shown below.

Work

• => 6(3) + 12.5
• => 18 + 12.5
• => 30.5 units

Hence, the perimeter of EFGH is 30.5 units.

`BrainiacUser1357`