The width of a rectangular stamp is 1.40 cm greater than the length. if the width and the length are both increased by 1.0 cm, the stamp would have a perimeter equal to 20.80 cm. What are the actual dimensions of the stamp?

Respuesta :

Actual dimensions of the rectangular stamp is Length = 3.5cm and Width = 4.9cm

What is the perimeter of a rectangle?

perimeter of a rectangle is the sum of the dimensions. This is the sum of the 2 lengths and the 2 widths

Given data

width of a rectangular stamp ( W ) = 1.40cm + L

L = length

perimeter of stamp after increment = 20.8cm

Perimeter p = 2 ( L + W )

20.8 =  2 ( L + 1 + W + 1 )

20.8 =  2 ( L + 1 + 1.4+ L + 1 )

20.8 =  2 ( 2L + 3.4 )

10.4 = ( 2L + 3.4 )

2L = 10.4 - 3.4

L = 7 / 2

L = 3.5cm

Therefore length of the stamp is 3.5 cm

Width of the stamp = 1.4 + L

W = 1.4 + 3.5

W = 4.9 cm

Actual dimensions of the rectangular stamp is Length = 3.5cm and Width = 4.9cm

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