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The Length of a rectangle is 4 centimeters less than twice its width . The perimeter of the rectangle is 34cm. What are the dimensions of the rectangle ?

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The given known values are:

Length of 4 cm

Width is unknown

Perimeter is 34 cm

Find the dimensions of the rectangle.

Since the geometric formula for perimeter is:


P= 2 (l + w)


L = 2w – 4 cm


W =?


Derivation and solution:


34 = 2 (2w - 4) + 2w


34 =  4w – 8 + 2w


42 = 6w

42/6 = w


W = 7 cm



34 = 2l + 2(7)


34 = 2l + 14


2l = 34 – 14


2l = 20


L = 20/2


L = 10

cm





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