Answer:
54.8 = total area+
Step-by-step explanation:
Start with the widest part near the middle. Three inches is taken away from 7 inches to give 4 inches.
4 inches must be divided by 2 since the triangles so formed are congruent and there are 4 of them.
Use the Pythagorean theorem to get the height of the triangles. Solve the height for just one of them.
height = ??
Base = 2
hypotenuse = 5
height^2 + 2^2 = 5^2
height^2 + 4 = 25
height^2 + 4 - 4 = 25 - 4
height^2 = 21
height = sqrt(21)
height = 4.58
<em>Area of 4 Trangles</em>
Area of the triangles = 4 * (1/2 * 2 * 4.58)
Area of the triangles = 18.32
<em>Area of the Middle Rectangle</em>
Area = l * w
length = 4.58 * 2 where did that 2 come from?
width = 3
Area = 3 * 2 * 4.58
Area = 27.48
<em>Area of the two End Squares</em>
The end squares measure 3 by 3
Area square = s*s
The area = 3*3 = 9
<em>Total Area</em>
Area = 9 + 27.48 + 18.32
Area = 54.8 units.
