The total area of the figure is 139.20 square centimeters
Areas
The area of a shape is the amount of space it occupies
<h3>Composite figure</h3>
The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure
The shape has 6 equilateral triangles, each of which has an area of:

Where:
--- the length of each toothpick
The area of the rectangle is then represented as:


So, the total area of the figure is:

This gives

Substitute 6 for s




Hence, the total area of the figure is 139.20 square centimeters
Read more about areas at:
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Unit Rate:
6 plants in 1 square yard
Square yard for every 100 grass seeds
8 seeds per square foot
2 plants per square foot
Rate:
25 trees per 25 yards
4 acres for 800 plants
Answer:this item, we are given with the radius equal to 22 cm.
In this measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60° and equal to the hypotenuse times (1/2)(√3)
Step-by-step explanation:
If we let s be the side of the triangle then,
s/2 = r(1/2)(√3)
Multiplying the equation by 2,
s = r√3
Substituting,
s = (22 cm)(√3) = 22√3
The area of the equilateral triangle is computed through the equation,
A = (√3 / 4)(s²)
Substituting,
A = (√3 / 4)(22√3)² = 628.7 cm²
Therefore, the answer to this item is the first choice.