A rectangular garden has a perimeter of 92 feet. If the length of the garden is 1 foot greater than twice its width, what is the length of the garden in feet?

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A rectangular garden has a perimeter of 92 feet. If the length of the garden is 1 foot greater than twice its width, what is the length of the garden in feet?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Step 1) Make two equations. 2l + 2w = 92 l = 1 + 2w
The perimeter of a rectangular garden is 326 feet. If the length of the garden is 95 feet, what is its width?
Now use substitution. Substitute the value of l into the first equation. Solve for w. 2l + 2w = 92 l = 1 + 2w __ 2(1 + 2w) = 92 Distribute the 2. 2 + 4w = 92 Subtract 2. 4w = 90 Divide by 4. w = 22.5 -- Substitute the value of the width (w = 22.5) into any equation. Solve for l(length). 2l + 2w = 92 2l + 2(22.5) = 92 2l + 45 = 92 Subtract 45. 2l = 47 Divide by 2. l = 23.5 Length is 23.5

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The perimeter of a rectangular garden is 326 feet. If the length of the garden is 95 feet, what is its width? P = 2l + 2w 326 = 2(95) + 2w 326 = 190 + 2w Subtract 190. 136 = 2w Divide by 2. 68 = w Width is 68.

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