**Taufik arranged a rectangle and a square and painted them in three colours as shown in the figure below. The ratio of the area of the rectangle to that of the square is 3:1. The ratio of the area of the red part to that of the blue part is 4:1. The length of the square is 9 cm.a) What is the area of the purple part?**

**b) What is the ratio of the area of the purple part to that of the figure?**

Area of Rectangle : Area of Square

3 : 1

9 units : 3 units

Red Area : Blue Area

4 : 1

8 units : 2 units

**a)**

(Square) 3 units ----- 81 square cm

(Purple) 1 unit ----- 81 square cm divided by 3 =

**27 square cm (Answer)**

**b)**

Purple ----- 1 unit

Whole figure 11 units

Area of purple part : Area of whole figure

**1 : 11 (Answer)**

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