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 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?
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
Learn More:
find the perimeter and area of the rectangle of which is diagonal has ...
https://brainly.in/question/7290668
Area of rectangle is 24 cm2 and perimeter 20 cm then their length of ...
https://brainly.in/question/7986815
