Sunday Times Teaser 3074 – Timely Overthrows
by Howard Williams
Published Sunday August 22 2021 (link)
Without changing their size, Judith sews together one-foot squares of different colours that her mother has knitted, to make rectangular throws. These are usually all of the same dimensions using fewer than a hundred squares. She has observed that it takes her mother 20 per cent longer to knit each square than it takes her to sew two single squares together.
As a one-off she has completed a square throw whose sides have the same number of squares as the longer side of her usual rectangular throws. The average time it took per square foot, both knitting and sewing, to complete the square throw was 2 per cent longer than that of the rectangular throws.
What are the dimensions in feet of the rectangular throws?