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Question
primary 6 | Maths
| Geometry
3 Answers Below
Anyone can contribute an answer, even non-tutors.
Please help. Thank you very much
Date Posted: 3 years ago
Views: 275
We don't need the first two fractions.
¼ of rectangle is shaded means:
Ratio of shaded area to total area of rectangle = 1 : 4
Next, since we see ⅞, ratio of (○ +△) : rectangle
= 7 : 8
The rectangle is the repeated identity. So we should make the units the same for the rectangle in both ratios.
Ratio of shaded area to total area of rectangle
= 1 : 4
= 2 : 8 (after multiplying by 2)
So now we can say :
Shaded area is 2 units
○ + △ is 7 units
Rectangle is 8 units
Area of whole figure
= area of rectangle + ○ + △- shaded area (it's the overlapping part)
= 8 units + 7 units - 2 units
= 13 units
13 units = 260cm²
1 unit = 260cm² ÷ 13 = 20cm²
Rectangle area = 8 units
= 20cm² × 8
= 160cm²
¼ of rectangle is shaded means:
Ratio of shaded area to total area of rectangle = 1 : 4
Next, since we see ⅞, ratio of (○ +△) : rectangle
= 7 : 8
The rectangle is the repeated identity. So we should make the units the same for the rectangle in both ratios.
Ratio of shaded area to total area of rectangle
= 1 : 4
= 2 : 8 (after multiplying by 2)
So now we can say :
Shaded area is 2 units
○ + △ is 7 units
Rectangle is 8 units
Area of whole figure
= area of rectangle + ○ + △- shaded area (it's the overlapping part)
= 8 units + 7 units - 2 units
= 13 units
13 units = 260cm²
1 unit = 260cm² ÷ 13 = 20cm²
Rectangle area = 8 units
= 20cm² × 8
= 160cm²
See 3 Answers
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Date Posted:
3 years ago
Question looking for rectangle area so should be 8 units = 160cm² instead
Haha... Always careless.. vision blurry already!
Nice illustration by the way.
I think there was a similar question in their workbook about a Square S, and Rectangles R and T that overlap.
The info given that a specified fraction of Rectangle R and T were shaded respectively was redundant like in this example since it was asking what fraction of the figure was shaded.
I think there was a similar question in their workbook about a Square S, and Rectangles R and T that overlap.
The info given that a specified fraction of Rectangle R and T were shaded respectively was redundant like in this example since it was asking what fraction of the figure was shaded.
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Similar Q
Date Posted:
3 years ago
done
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Hope this helps
Date Posted:
3 years ago
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