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icang [17]
3 years ago
8

Four identical rectangles form the square. What is the perimeter of the square, if the perimeter of each rectangle is 40 inches?

Mathematics
1 answer:
8090 [49]3 years ago
3 0

Answer:

64

Step-by-step explanation:

so basically first I wanted to find the width, if you draw a model, it would be easy, so

I make 4 rectangles, one on top of the other for all of them.

so if you turn it clockwise 90 degrees, the rectangles are the same so if you draw them together then they over lap you can see that you can make a x:y for the lengths. If the width of the rectangle is 1 then the length of the rectangle is 4, 1:4 ,  so now we use the perimeter of 40 so now if the width is w and the length is l then wl is 20 (40/2) si niw 20/(1+4) which is 20/5 which is 4, so now we know that the width of the rectangle is 4 and the length is 4x4 which is 16 so now we can calculate the perimeter of the square, we know that the side length of the square is 16, so all we have to do is 16x4 which is 64.

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Verizon [17]

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

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y---> the width of the rectangular garden

we know that

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we have

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so

42=2(x+y)

simplify

21=(x+y)

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Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

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using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

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y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

A=(10.5)(10.5)=110.25\ ft^{2} ----> is equal to the y-coordinate of the vertex is correct

6 0
3 years ago
Factor each expression 22x-11y+44
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Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which sta
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C = Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.


8 0
3 years ago
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ale4655 [162]
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8 0
3 years ago
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Which phrase best descubes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 - 2?
Ber [7]

Answer:

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Step-by-step explanation:

Suppose a function is given in this form:

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Now, to go from  y=(x-5)^2+7  to  y= (x+1)^2-2 , we can see that:

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Thus, "6 units left and 9 units down" is the transformation(translation).

6 0
3 years ago
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