On the occasion of Diwali, Radhika wants to draw a Rangoli made up of only squares and rectangles. She has drawn the outline as shown in the figure. Help her out in finding the following:
(a)What is the area of the floor available to her for making Rangoli?
(b)What is the total area of the floor occupied for making Rangoli? Which geometrical figure (square/rectangle) occupies more area?
(c)What is the area of the floor not covered by Rangoli?
(d)Radhika wants to cover the boundary of the Rangoli with string of flowers? What is the length of the string required by her?
(e)What is the significance of making Rangoli on Diwali?
(f)If you would have to make a Rangoli , which patterns you will use? Did you discover symmetry, reflection or tessellation in your Rangoli patterns?
(g) Make your own Rangoli this Diwali using geometrical shapes of your choice and upload a picture.
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Answers
Given : On the occasion of Diwali, Radhika wants to draw a Rangoli made up of only squares and rectangles
To Find : (a)What is the area of the floor available to her for making Rangoli?
(b)What is the formula that she will use to find the area of the square portion of Rangoli?
(c)What is the total area of the floor occupied for making Rangoli? Which geometrical figure (square/rectangle) occupies more area?
(d)What is the area of the floor not covered by Rangoli?
(e)Radhika wants to cover the boundary of the Rangoli with string of flowers? What is the length of the string required by her?
Solution:
area of the floor available to her for making Rangoli = 39 x 31
= 1209 cm²
area of the one square portion of Rangoli = 9² = 9 x9 = 81 cm²
Area of 3 Square portions = 3x 81 = 243 cm²
total area of the floor occupied for making Rangoli?
= 3 x 81 + 2 x 13 x 9
= 243 + 234
= 477 cm²
area of the floor not covered by Rangoli = 1209 - 477 = 732 cm²
length of the string required by her = 2(27 + 35)
= 124 cm
Answer:
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