Given a trapezoid with a height of 4.3m and bases of 9.2 m and 3.2m, what is the area of the trapezoid? Do not include units in
1 answer:
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Answer:
The trestle meets ground level at 0.875 units and 9.125 units
Step-by-step explanation:
Poorly formatted question.
The given equation is:
Required
The point where the trestle gets to the ground level
To do this, we set
So, we have:
Multiply through by -1
Solve using quadratic formula:
Where:
So, we have:
Solve the fraction
Split
Answer:
29.42 units
Step-by-step explanation:
<u>1) Find the perimeter around the semi-circle</u>
To do this, we find the circumference of the circle using the given diameter:
where d is the diameter
Plug in 6 as the diameter
Divide the circumference by 2
Therefore, the perimeter around the semi-circle is 3π units.
<u>2) Find the perimeter around the rest of the shape</u>
Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those <em>vertical</em> sides facing the right add up to 6. We also know that all of those <em>horizontal </em>sides facing up add up to 7. Please refer to the attached images.
Therefore, we add the following:
7+6+7
= 20
Therefore, the perimeter around that area of the shape is 20 units.
<u>3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape</u>
Therefore, the perimeter of the shape is approximately 29.42 units.
I hope this helps!
