the ratios of: 6. In a design made from tiles each of dimensions 40 cm by 60 cm, find (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. went blends two varieties 21 and 130 per kg in the ratio of
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Question 76
In a floral design made from tiles each of dimensions 40cm by60 cm (See figure), find the ratios of
a) The perimeter of the shaded portion to the perimeter of the whole design.
b) The area of the shaded portion to the area of the unshaded portion.
Solution
From the above figure, we find that:
Perimeter of shaded portion = 10 units
Perimeter of whole design = 18 units
Area of shaded portion = 6 sq. units
Area of whole design = 20 sq. units
Also, area of unshaded portion = Total area - Area of the shaded portion
= 20 - 6 = 14 sq. units
a) Ratio of perimeter of the shaded portion to the perimeter of the whole design
=
Perimeter of shaded portion
Perimeter of whole design
=
10
18
=
5
9
=
5
:
9
[on dividing numerator and denominator by 2]
b) Ratio of area shaded portion to the area of unshaded portion
=
Area of shaded portion
Area of unshaded portion
=
6
20
−
6
=
6
14
=
3
7
=
3
:
7
[on dividing numerator and denominator by 2].
THANKS FOR YOUR QUESTIONS.
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