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4 years ago

The length of a rectangle is 4cm longer than the width. The perimeter is 80 cm. Find the length and width.

Mathematics

2 answers:

Virty [35]4 years ago

8 0

Answer:

Width = 18 cm

Length = 22 cm

Step-by-step explanation:

A rectangle have 4 sides . Opposite side of a rectangle is equal in size . The sum of the whole sides of the rectangle is the perimeter.

perimeter of a rectangle = L + L + W + W

perimeter of a rectangle = 2L + 2W = 2(L + W)

perimeter = 80 cm

length(L) = (4 + W) cm

using the perimeter formula,

80 = 2(4 + W + W)

80 = 2(4 + 2W)

divide both side by 2

40 = 4 + 2W

40 - 4 = 2W

36 = 2W

W = 36/2

W =18 cm

since,

length = 4 + W

W = 18 cm

length= 4 + 18

length = 22 cm

Sphinxa [80]4 years ago

6 0

I think this is the answer: Length = l Width = w 2l + 2w = 80cm l+w = 40cm l = w+4 w+4 + w = 40cm 2w + 4 = 40cm 2w = 36cm w = 18cm l = 22cm

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