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#### In a floral design made from tiles each of dimensions 40cm by 60cm (See Fig. 8.7), find the ratios of: (a) the perimeter of shaded portion to the perimeter of the whole design. (b) the area of the shaded portion to the area of the unshaded portion.

Length of one tile = 60 cm
The breadth of one tile =40 cm

Area of one tile =60 cm x 40 cm=2400 square cm
(a) The ratios of the perimeter of the shaded portion to the perimeter of the whole design.

$\\ \frac{\text { Perimeter of shaded portion }}{\text { Perimeter of whole design }}=\frac{480 \mathrm{~m}}{880 \mathrm{~m}}=\frac{6}{11}=6: 11$
(b) The ratios of the area of the shaded portion to the area of the unshaded portion

$\frac{\text { Area of the shaded portion }}{\text { Area of the unshaded portion }}=\frac{6 \times \text { area of } 1 \text { tile }}{14 \times \text { area of } 1 \text { tile }} = \frac{6}{14}=6:14$