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grigory [225]
4 years ago
10

What is the length of MN?

Mathematics
1 answer:
SSSSS [86.1K]4 years ago
6 0

Answer:

15

Step-by-step explanation:

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Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
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Answer:

The perimeter of rectangle is 18\ cm

Step-by-step explanation:

Let

x------> the length of rectangle

y----> the width of rectangle

we know that

The area of the constructed figure is equal to

A=xy+2x^{2} +2y^{2}\\A=120\ cm^{2}

so

120=xy+2x^{2} +2y^{2} -----> equation A

x=y+5 -----> equation B

substitute equation B in equation A

120=y(y+5)+2(y+5)^{2} +2y^{2}\\120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\5y^{2}+25y+50-120=0\\5y^{2}+25y-70=0

using a graphing calculator to resolve the quadratic equation

the solution is

y=2\ cm

Find the value of x

x=2+5=7\ cm

Find the perimeter of rectangle

The perimeter of rectangle is equal to

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4 years ago
Jan began with 5/6 pound of modeling clay she used 1/5 of the clay to make decorative magnets. She divided the remaining clay in
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Starting weight:  5/6 lb.  Of this, Jan used 1/5, which would be (1/5)(5/6) lb, 
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Check all options:

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