A rectangle has a perimeter of 58 inches. The length is five more than twice the width. Write and solve an equation to determine the width of the rectangle

The width is 8 inches.

Step-by-step explanation:

Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

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step-by-step explanation:

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