The diagram shows a large square divided into squares of three different sizes.
What percentage of the large square is shaded?
Answers
Given : The diagram shows a large square divided into squares of three different sizes.
To Find : What percentage of the large square is shaded
Solution:
Lets consider
Outer Square of side 20 x 20
Area = 20 x 20 = 400 Sq units
5 middle Size Square length = Length of 1 large square
Hence Length of side of middle size Square = 20/5 = 4
Area of middle size Square = 4 x 4 = 16 sq units
8 of them are shaded = 16 x 8 = 128 sq units
Side length in between = 20 - 4 - 4 = 12 unit
2 inner larger size square length = 12 unit length
=> 1 inner larger size square length = 12/2 = 6 unit
Area of inner larger size square = 6 x 6 = 36 sq units
2 of them are shaded = 2 x 36 = 72 sq units
4 of smaller square length = 12 unit
=> 1 smaller size square length = 12/4 = 3 unit
Area of smaller size square = 3 x 3 = 9 sq units
4 of them are shaded = 4 x 9 = 36 sq units
Shaded area = 128 + 72 + 36 = 236 Sq units
Area of Square = 400 Square units
percentage of the large square is shaded = (236/400) * 100
= 59 %
Learn more:
What is the Area of red part
https://brainly.in/question/17210072
area of the shaded region
brainly.in/question/8105466
brainly.in/question/8012558
In the given figure ABCD is a rectangle. The radius of the semicircles ...
brainly.in/question/12821725
