The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t2.159

c8.t2.159

For this one of the two squares having side of unit length is divided into three equal parts by lines drawn parallel to one of its sides. Each of these parts forms a rectangular piece of one unit in length and one-third unit in width. Two of these rectangular parts are then joined length-wise to the two adjacent sides of the other unit square. This leaves a square hole at one of the corners of the enlarged unit square. This square hole will have a side of one-third unit in length. The remaining rectangular piece of the divided unit square is again subdivided into three equal parts each forming a square of side one-third unit in length. One of the squares is fitted into the square hole mentioned above. Each of the remaining two squares is again subdivided into four equal rectangular pieces having length of ⅓ unit and width of 1/3.4 unit. Eight of these small rectangular pieces are placed length-wise side by side on the two adjacent sides of the enlarged square with four on each side. This again leaves a square hole at the corner having a side of length 1/3.4 unit. Now two equal strips have to be deducted from the two adjacent sides of the enlarged square under construction; the width of each of the strips is therefore given by