book Maths Puzzle Numerical Ability

how shall i find the square root of 169 without using calculator?? please describe briefly..

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an overnight delivery service accepts packages of up to 165 inches in length and girth (distance areound the package) combined. a package has a fixed girth of 53 inches. Determi determine the linear function whose graph is a line that perpendicular to the line g(x)= -3x-4 and contains the points (3,7)