ninjakenny123 ninjakenny123
  • 22-10-2018
  • Mathematics
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The perimeter of a rectangle is 28 cm. The length is 10 cm longer than the width. What are the length and width of the rectangle

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bryanmingg98
bryanmingg98 bryanmingg98
  • 22-10-2018
Let's say...
The length= x
The width= y

Perimeter is 28 cm, so...
Equation 1
x+x+y+y=28
2x+2y=28
x+y=14
x=14-y

Length is 10 com longer than width, so...
Equation 2
x-y=10

Substitute Equation 1 into Equation 2
x-y=10
14-y-y=10
-2y=-4
y=2

Substitute y=2 into Equation 1
x=14-y
=14-2
=12

Answer: Length=12 cm, Width=2 cm
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