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anonymous
 5 years ago
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
anonymous
 5 years ago
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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nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0Name the width as a variable x and write down the given property in terms of x.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If 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.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0circumference = 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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