Let the shortest side be x. Then the other two sides will be x+1 and x+2.
Perimeter = P = sum of the lengths of all three sides = x + (x+1) + (x+2)
This perimeter = 4x -1 (1 less than 4 times the shortest side).
Then x + x + 1 + x + 2 = 4x - 1
or: 3x + 3 = 4x -1 Subtr. 3x from both sides:
3 = x - 1
x=4, x+1=5, and x+2=6
The 3 sides have lengths 4, 5 and 6.
<h2>Area = 80 ft²</h2><h2>------------------------------</h2>
<u>Step-by-step explanation:</u>
diagonal 1 (d1) = 5 + 5
= 10 ft
diagonal 2 (d2) = 8 + 8
= 16 ft
area of rhombus = 1/2 × d1 × d2
= 1/2 × 10 × 16
= 80 ft²
<h2>--------------------------------</h2><h2>Follow me</h2>
Answer:

Step-by-step explanation:
<u>Regular Hexagon</u>
For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.
We know that x is half the length of the side length of the hexagon. Thus

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

Now we have
, the height of the triangle y is easily found by

Solving for y

The value of z can be found by using


The area of the triangle is

The area of the hexagon is 12 times the area of the triangle, thus


.......................WELL I GOT 72.8