The length of a rectangle is 7.8 cm more than 4 times the width. If the perimeter of the rectangle is 94.6 cm, what are its dimensions?

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Answer 1 · 2016-10-25T13:43:18

Width of the rectangle is 7.9 cm and the Length is 39.4 cm.

We know the equation for Perimeter is #P = (2 * L) + (2 * W)# we can therefore substitute the following:

#94.6 = (2 * ((4 * W) + 7.8) + (2 * W)#

Simplifying and solving for #W#

#94.6 = (8 * W) + 15.6 + (2 * W)#

#94.6 = (10 * W) + 15.6#

#79 = 10 * W#

#W = 7.9#

and

#L = (4 * W) + 7.8#

#L = (4 * 7.9) + 7.8#

#L = 31.6 + 7.8 = 39.4#