Math, asked by amitmhq82gmailcom, 7 months ago

Find the area of
blue rectangle.​

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Answers

Answered by amitnrw
0

Given:  A rectangle , arc and semicircle

To find : Area of rectangle

Solution:

Let say Radius of Arc with in rectangle = R

and Radius of Semicircle = r

Sides of rectangle would be  R   &  R + r + r

= R  & (R + 2r)

Area of rectangle = R(R + 2r)

as 5 cm length is tangent to semicircle

=> 5² + r²  = ( R + r)²

=> 5²  + r² = R² + r² + 2Rr

=> 25 = R² + 2Rr

=> 25  = R (R + 2r)

=> R (R + 2r) = 25

Area of rectangle = R(R + 2r)

Hence area of rectangle = 25 cm²

the area of blue rectangle.​  = 25 cm²

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