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icang [17]
4 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]4 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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Answer:

<em>Shayla charges $20 per hour for middle school students and $25 per hour for high school students.</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Shayla's hourly charge for middle school students

y = Shayla's hourly charge for high school students

Last week, Shayla tutored middle school students for 5 hours and high school students for 12 hours. The total earning was 5x+12y. She earned $400 last week, thus:

5x + 12y = 400        [1]

This week, she tutored middle school students for 6 hours and high school students for 10 hours. The total earnings were 6x+10y and it represented $370, thus:

6x + 10y = 370

Dividing by 2:

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We have formed the system of equations:

5x + 12y = 400        [1]

3x + 5y = 185        [2]

Multiply [1] by -3 and [2] by 5:

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Adding both equations:

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Dividing by -11:

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x = 20

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Step-by-step explanation:

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