A quilt is made by repeating the patch below.
The letters indicate the colours of fabric that make up the patch- yellow, black and white. The yellow and white pieces are square and the black pieces are rectangular. Many of these patches are sewn together in rows and columns to make a pattern. The finished quilt, made from 100 patches, is a square with an area of 1.44m sq.
An interesting feature is created when the blocks are sewn together: each colour forms a shape. The shape and its area are exactly the same for each colour. (The feature appears throughout the quilt, except at the edges.)
__ __ __ __
|Y_|_B _ |_Y|
| B | W | B |
|__|____ |__|
|Y_|__B _|_Y|
a) Determine the size of each yellow, black and white fabric piece in a patch.
b) How much (in m sq) of each of the different colours would be needed to construct the quilt? (Ignore seam allowances)
+118651 I do not understand this statement. 
An interesting feature is created when the blocks are sewn together: each colour forms a shape. The shape and its area are exactly the same for each colour. (The feature appears throughout the quilt, except at the edges.)
Do you understand it?
+23251 My understanding of the problem is that 100 of these patches are used to create the quilt, 10 rows of 10 patches per row.
Since the area of the quilt is 1.44 m sq, the quilt must have dimensions of 1.2 m by 1.2 m.
Since each row contains 10 patches and each row is 1.2 m long, each patch must have a width of 0.12 m or 12 cm.
By looking at the patch shown, the each black segment must be twice as wide as a yellow segment, so each yellow segment must be 3 by 3 cm, each black segment must be 3 by 6 cm and each white segment must be 6 by 6 cm.
To find how much of each color is needed, notice that the area of each patch is divided into four 3 x 3 yellow areas (= 36 cm sq), four 3 x 6 black areas ( = 72 cm sq) and one 6 x 6 white area ( = 36 cm sq). This means that 1/4 of each patch is yellow, 1/4 of each patch is white, and 1/2 of each patch is black.
Thus, 1/4 of the total quilt is yellow (1/4 of 1.44 m sq is 0.36 m sq) as is also the white area (another 0.36 m sq) but the black area is twice as much (o.72 m sq).
