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myrzilka [38]
3 years ago
14

The length of a rectangle in centimeters is two more than thrice its width. a) Write an expression, in the simplest form, for th

e perimeter of the rectangle. b) Find the length of the rectangle if the perimeter is 36 cm
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0

Answer:

Perimeter of the rectangle = 8 x +4

Length of the rectangle = 12 units.

Step-by-step explanation:

Let the width of the rectangle as 'x' units.

So, length of the rectangle is 2 more than 3 x.

We can set up expression for length as 3 x+2.

Now, perimeter is sum of all side lengths of the rectangle.

So, perimeter = x+x+3 x+2 +3 x+2

Combine like terms,

Perimeter = 8 x+4

Now, it is given perimeter is 36cm

So,

8 x+4=36

Subtract both sides 4

8 x=32

Divide both sides by 8

x=4

So, width of the rectangle =4

Length =3(4) +2=14

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