Please solve the question .
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hiii!!!
here's ur answer...
given the height ( AE ) of the right angle triangle is 9cm.
base ( DE ) of the right angle triangle is 12cm.
area of the right angle triangle = 1/2 × b × h
= 1/2 × 12 × 9
= 6 × 9
= 54cm²
now,
hypontuse of the triangle = breadth of the rectangle ABCD.
we will find the hypontuse of the triangle by Pythagoras thereom.
let the hypontuse be c, base be a and height be ( other side ) be b.
==> a² + b² = c²
==> 12² + 9² = c²
==> 144 + 81 = c²
==> 225 = c²
==> c = √225
==> c = 15cm
hence, the hypontuse of the triangle is 15cm and breadth of the rectangle is 15cm.
AB = 20cm
AD = 15cm
area of the rectangle ABCD = l × b
= 20 × 15
= 300cm²
diameter of the semicircle = breadth of the rectangle
therefore diameter of the semi circle is 15cm and radius is = 15/2 = 7.5cm
area of the semi circle = 1/2πr²
= 1/2 × 22/7 × 7.5
= 11/7 × 7.5
= 82.5/7cm²
total area of the figure = 300 + 82.5/7
= 2100/7 + 82.5/7
= 2182.5/7cm²
area of the shaded region = 2182.5/7 - 54
= 2182.5/7 - 378/7
= 1804.5/7cm²
= 257.78cm² ( approximately )
is it right answer ??
if not u can report :)
here's ur answer...
given the height ( AE ) of the right angle triangle is 9cm.
base ( DE ) of the right angle triangle is 12cm.
area of the right angle triangle = 1/2 × b × h
= 1/2 × 12 × 9
= 6 × 9
= 54cm²
now,
hypontuse of the triangle = breadth of the rectangle ABCD.
we will find the hypontuse of the triangle by Pythagoras thereom.
let the hypontuse be c, base be a and height be ( other side ) be b.
==> a² + b² = c²
==> 12² + 9² = c²
==> 144 + 81 = c²
==> 225 = c²
==> c = √225
==> c = 15cm
hence, the hypontuse of the triangle is 15cm and breadth of the rectangle is 15cm.
AB = 20cm
AD = 15cm
area of the rectangle ABCD = l × b
= 20 × 15
= 300cm²
diameter of the semicircle = breadth of the rectangle
therefore diameter of the semi circle is 15cm and radius is = 15/2 = 7.5cm
area of the semi circle = 1/2πr²
= 1/2 × 22/7 × 7.5
= 11/7 × 7.5
= 82.5/7cm²
total area of the figure = 300 + 82.5/7
= 2100/7 + 82.5/7
= 2182.5/7cm²
area of the shaded region = 2182.5/7 - 54
= 2182.5/7 - 378/7
= 1804.5/7cm²
= 257.78cm² ( approximately )
is it right answer ??
if not u can report :)
Answered by
6
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