
Pls help to solve, thanks
Pls help to solve, thanks
The answer key is wrong because it has double-counted for the overlapping parts as seen in my diagram above. The figure is made up of the 3 shapes overlapping at the shaded areas so it should be 27u instead of 33u.. hence my solution as follows still holds:
Square Triangle Rectangle Total
5u 8u 20u 33u
1/5 x 20u = 4u = right shaded part of triangle
Total shaded part of triangle = 3/4 x 8u = 6u => Unshaded part = 8u-6u = 2u
Hence total figure taking away the overlapping parts = 33u – 6u = 27u or 5u+2u+20u = 27u
Fraction of shaded part of the figure = Shaded overlapping parts/ total figure
= 6u/27u = 2/9
The answer key is wrong because it has double-counted for the overlapping parts as seen in my diagram above. The figure is made up of the 3 shapes overlapping at the shaded areas so it should be 27u instead of 33u.. hence my solution as follows still holds:
Square Triangle Rectangle Total
5u 8u 20u 33u
1/5 x 20u = 4u = right shaded part of triangle
Total shaded part of triangle = 3/4 x 8u = 6u => Unshaded part = 8u-6u = 2u
Hence total figure taking away the overlapping parts = 33u – 6u = 27u or 5u+2u+20u = 27u
Fraction of shaded part of the figure = Shaded overlapping parts/ total figure
= 6u/27u = 2/9
Understood. Thank you !
Is the answer key 2/9?
No, the answer key is 6/33
The answer key is wrong because it has double-counted for the overlapping parts as seen in my diagram above. The figure is made up of the 3 shapes overlapping at the shaded areas so it should be 27u instead of 33u.. hence my solution as follows still holds:
Square Triangle Rectangle Total
5u 8u 20u 33u
1/5 x 20u = 4u = right shaded part of triangle
Total shaded part of triangle = 3/4 x 8u = 6u => Unshaded part = 8u-6u = 2u
Hence total figure taking away the overlapping parts = 33u – 6u = 27u or 5u+2u+20u = 27u
Fraction of shaded part of the figure = Shaded overlapping parts/ total figure
= 6u/27u = 2/9
The answer key is wrong because it has double-counted for the overlapping parts as seen in my diagram above. The figure is made up of the 3 shapes overlapping at the shaded areas so it should be 27u instead of 33u.. hence my solution as follows still holds:
Square Triangle Rectangle Total
5u 8u 20u 33u
1/5 x 20u = 4u = right shaded part of triangle
Total shaded part of triangle = 3/4 x 8u = 6u => Unshaded part = 8u-6u = 2u
Hence total figure taking away the overlapping parts = 33u – 6u = 27u or 5u+2u+20u = 27u
Fraction of shaded part of the figure = Shaded overlapping parts/ total figure
= 6u/27u = 2/9
Understood. Thank you !