Z 30 The problem calls for finding the values of the unknown quantities x, y, and z. [Hint: By properties of similar triangles, y/(y+z) x/30.] Another Old Babylonian problem calls for finding the length of the sides of an isosceles trapezoid, given that its area is 150, that the difference of its bases is 5 (that is, b1 - b2 =5), and that its equal sides are 10 greater than two-thirds of the sum of its bases (that is, 5. (b1b2)10). S1 = S2 b2 $2 S1 150 Solve this problem using an incorrect Babylonian formula for the area of a trapezoid, namely, of A = 2 2 A Babylonian tablet of 2000 B.C. gives two methods for calculating the diagonal d of a rectangle with sides of length 40 and 10 units. The first leads (in specific numbers) to the approximation 6. 2ab2 d at