A rectangle with perimeter 198 cm is divided into five congruent rectangles. What is the perimeter of one of the five congruent
1 answer:
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The area of the considered equilateral triangle is given by: Option D:
For a regular polygon (a polygon with all sides of same measure), the line segment drawn from the center of the polygon to the mid point of a side of the polygon is called apothem.
Referring to the attached figure below, for the considered case, we're given that:
- The perimeter of the considered equilateral triangle is 22.45 cm
- The length of the apothem = 2.16 cm
Since all sides of an equilateral triangle are same, let they be of 'x' cm length for this case, then:
Since the equilateral triangle has all same sides, all three triangles AOC, AOB, and BOC are congruent and have same area.
The area of ABC = Area of AOC + Area of AOB + Area of BOC = 3 × Area of AOC
The area of AOC = half of base times height. The height is length of the apothem since because of symmetry in right and left of the apothem, it is standing with equal angle on both sides of AC, thus, half of straight line angle, therefore of 180/2 = 90 degrees, thus, perpendicular.
Area AOC =
Thus, area of ABC = 3 × Area of AOC =
Thus, the area of the considered equilateral triangle is given by: Option D:
Learn more about apothem here:
Answer:
1 liter × 0.2642 gallons liter × 33.817 fluid ounces gallon.
Step-by-step explanation:
Given:
1 gallon = 3.785 liters
We need to find how many fluid of ounce are there in 1 liter.
First we will find number of gallons in 1 liter.
We know that;
3.785 liters = 1 gallons
1 liters = number of gallons in 1 liter.
By using Unitary method we get;
number of gallons in 1 liter =
Now we know that:
1 gallons = 128 fluid ounce
So 0.2642 gallons = Number of fluid ounce in 0.2642 gallons
Again by using Unitary method we get;
Number of fluid ounce in 0.2642 gallons =
Hence we can say,
1 liter ×0.2642 gallons liter × 33.817 fluid ounces gallon.