simon says that to find the area of a trapezoid, you can multiply the height by the top base and the height by the bottom base.
Then add the two products together and divide the sun by 2. Is Simon correct? Explain your answer.
2 answers:
He is correct
basically you have
h times base1+h times bsae 2 all divided by 2
that equals
(hb1+hb2)/2
if we undistribute h using distributive property which is ab+ac=a(b+c)
(h)(b1+b2)/2
if you split the trapezoid in half with a horizontal line that passes through the halfway point of the height and take those two shapes and put them side by side and cut the triangles off the ends and add them, you will see why this is true
the reason is becuase you can get to the area formula from that is height times (b1+b2)/2
basically you have
h times base1+h times bsae 2 all divided by 2
that equals
(hb1+hb2)/2
if we undistribute h using distributive property which is ab+ac=a(b+c)
(h)(b1+b2)/2
if you split the trapezoid in half with a horizontal line that passes through the halfway point of the height and take those two shapes and put them side by side and cut the triangles off the ends and add them, you will see why this is true
the reason is becuase you can get to the area formula from that is height times (b1+b2)/2
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Answer:
The value is
Step-by-step explanation:
From the question we are told that
The area of the rectangular pen is
The cost of material used to make one side is
The cost of material used to make the other sides is
Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard
So the cost is mathematically represented as
=>
=>
Now the area of the fence is mathematically represented as
=>
=>
=>
Now differentiating
At minimum
So
Now substituting for x in the equation above to obtain minimum cost