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vlada-n [284]
3 years ago
14

A large city in the ancient world was square-shaped. measured in miles, its area numerically exceeded its perimeter by about 132

. find its dimensions. (round to the nearest tenth.
Mathematics
1 answer:
melisa1 [442]3 years ago
7 0
Area = perimeter + 132.  

Let  each side of the city be x miles long, then:-

x^2 = 4x  + 132
x^2 - 4x - 132 = 0

x  =  [-(-4) +/- sqrt((-4)^2 - 4 * 1 *-132)] / 2

x = 13.66, -9.66   We ignore the negative

So the city  has dimension of 13.66 * 13.66

13.7 * 13.7   to nearest 10th
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