Problema Solution

If the length is 7 more than 4 times the width of a rectangle and the perimeter is 74mm, what are the dimensions

Answer provided by our tutors

Let

L = the length of the rectangle

W = the width of the rectangle

P = 74 mm the perimeter of the rectangle

L = 7 + 4W

2L + 2W = 74 (since P = 2L + 2W)

We have the following system of equations:

L = 7 + 4W

2L + 2W = 74

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L = 31 mm

W = 6 mm

The dimensions of the rectangle are: the length is 31 mm while the width is 6 mm.