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.

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