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The length of a rectangle is 1cm more than its width. If the perimeter of the rectangle is 6m, what are the dimensions of the rectangle? *

1cm & 2cm

2cm & 2cm

1cm & 3cm

2cm & 4cm​


Sagot :

dimensions:

l = 2 cm

w = 1 cm

Step-by-step explanation:

Given:

P (perimeter) = 6 cm

w (width) = x cm

l (length) = x+1 cm

Solution:

P = 2l + 2w

6 cm = 2(x+1 cm) + 2(x cm)

6 cm = (2x+2 cm) + (2x cm)

6 cm = 2x+2+2x cm

6 cm = 4x+2 cm

6-2 cm = 4x+2-2 cm

4 cm = 4x cm

(4 cm = 4x cm) ÷ 4

1 cm = x cm

x = 1 cm

w = 1 cm

length = x+1 cm

l = (1) + 1 cm

l = 1+1 cm

l = 2 cm