patricia wants to build a mansion. the perimeter of the land she need is at least, 188m. the length of the property has to be 34 m. more than the width. Find the width and length of the land

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patricia wants to build a mansion. the perimeter of the land she need is at least, 188m. the length of the property has to be 34 m. more than the width. Find the width and length of the land

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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Name the width as a variable x and write down the given property in terms of x.
If we set x as the width and y as the length the perimeter is given by 2x + 2y = 188 km. We also know x + 34 = y. If we substitute this in to our first equation we get: 2x + 2(x + 34) = 188. Expanding 2x + 2x + 68 = 188. 4x = 120 so x = 30 and y = 64.
circumference = 2xL + 2xW ==> 188 = 2xL + 2xW also W = L + 34 substituting W into the first equation ==> 188 = 2xL + 2x(L+24) ==> solve for L ==> L = 30 subsitiute L into original or second equations to solve for W ==> W = 30+34 = 64

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