Question

In a design made from tiles each of dimensions 40 cm by 60 cm, 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
on their axes. I heldu​

Answer 1

solution

From figure we can see that, length of tile is in horizontal and breadth is in vertical direction.

Given that,

Length of the tile =60cm

Breadth of the tile =40cm

From the figure, Length of shaded region=4×lengthofonetile

breadth of shaded region=6×breadthofonetile

Length of whole region=8×lengthofonetile

Breadth of whole region=10×breadthofonetile

So, Required ratio =

perimeter of the whole portion

Perimeter of the shaded portion

⟹

(8×60+10×40)cm

(4×60+6×40)cm

=

880cm

480cm

=

11

6

=6:11