The side of the small square is 4, and the side of the large square is 6. Find the area of the red shape.
Answers
Given : The side of the small square is 4, and the side of the large square is 6
To Find : area of the red shape.
Solution:
Area of Small Sqaure = 4 x 4 = 16 sq units
Sides of squares are parallel
Triangle above small square and triangle on base of smaller square are similar
Hence a/4 = (6 - 4)/6
=> a = 4/3
4 - (4/3) = 8/3
Area of triangle = (1/2) * 4 * 8/3 = 16/3 sq units
Triangle at bottom of small square and triangle at base of small square and large square combined are similar
4/(4 + 6) = b/6
=> b = 24/10
=> b = 2.4
Area = (1/2) 4 * 2.4 = 4.8 sq units
Area of Red shape = 16 - 16/3 - 4.8
= 32/3 - 4.8
= (32 - 14.4)/3
= 17.6/3
= 5.867 sq units
area of the red shape.
= 5.867 sq units
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