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Coraline’s personal garden has a total perimeter of 10 meters. Its width is 2/3 of its length. Find the actual dimensions of Coraline’s garden.

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Answer: L=3, W=

Step-by-step explanation: Considering it is a rectangle

P = 2 (l+b) where L equals length and B breadth width)

10 = 2( L + (2/3×L)

Divide by 2

5= x + 2/3×x

5= x/1 + 2/3×x

5= x/1 + 2x/

expand the fraction to get the MCD

3x/3×1 + 2x/3

3x/3 + 2x/3

3x + 2x / 3

5x/3

5= 5x/3

multiply them by 3/5

3/5×5 = 3/5×5/3x.

cancel first 5s

3=3/5 × 5/3x.

cancel 3s

3= 1/5 ×5x

cancel 5s

3=x.

3 is length, so let's add everything up.

p = 2.(l+b)

10= 2. (3+b)

Divide this by

5=3+x

highlight the x by changing order of the numbers.

-x=3-5

-x = -2

then multiply by (-1) to make them positive:

x=

Therefore, length is 3 and width is 2.

User Joel Goodwin
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