Since multiplying by 0.5 is the same as dividing by 2, the problem is described by the sentence
"Half the sum of a number and 40 equals 200"
Answer: Choice C) 124 square cm
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Explanation:
Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5
A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.
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Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.
In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35
So
LSA = p*d
LSA = 11.35*10
LSA = 113.5
Add this LSA to the base area found earlier
10.5+113.5 = 124
The total surface area is 124 square cm
Answer:
area of triangle = 4.5*6/2 = 13.5 sq.yd.
Step-by-step explanation:
The area of a right triangle is half of the product of the sides adjacent to the right angle.
Here the sides adjacent to the right angle are 6 yd and 4.5 yd.
Therefore the
area of triangle = 4.5*6/2 = 13.5 sq.yd.
Answer:
Triangle Sum Theorem
Step-by-step explanation:
These do not give you congruent angles
