Question

In the diagram, ABCD is a square with a side length of 10 cm. If AY = CX = 8 cm, the area of the
shaded region is​

Answer 1

Answer:

20 sq. cm

Step-by-step explanation:

Given,

Side of the square = 10 cm

So, Area of the square = ( 10 x 10 ) sq. cm

= 100 sq. cm

Now,

Triangle AYB and Triangle CXD are Right Angled Triangle.

Area of Triangle AYB = Area of Triangle CXD

Ar(AYB) = 1/2 x AY x AB

= 1/2 x 8 x 10

= 1/2 x 80

Ar(AYB)= 40 sq. cm = Ar(CXD)

Therefore, Area of Shaded Figure = Area of Square - Ar(AYB) - Ar(CXD)

Area of Shaded Figure = ( 100 - 40 - 40 ) sq. cm

= ( 100 - 80 ) sq. cm

Area of Shaded Figure = 20 sq. cm