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primary 6 | Maths
| Ratio
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Pls help !!
Date Posted: 3 years ago
Views: 361
You've gotten the units correct for the three shapes.
Disclaimer : I assume these are all straight lines and the shapes are rectangles (A might actually be a square)
Let A's breadth be the horizontal side and its breadth be the vertical side.
A's area is 3/4 of C's area. Since both have a common (same) breadth ,
Length of A = 3/4 of length of C
We can say length of A is 3 units, length of C is 4 units. Ratio is 3 : 4
Combined length = 7 units
A's area is 1/4 of B's area. Since A's length and B's breadth are common (same),
Breadth of A = 1/4 of length of B.
We can say breadth of A is 1 unit, length of B is 4 units. Ratio is 1 : 4
Combined length = 5 units
The entire figure is a rectangle. Its length is
7 units and breadth 5 units
Its area = 7 units x 5 units
= 35 square units
D's area = 35 square units - 3 square units(A) - 4 square units(C) - 12 square units(B)
= 16 square units
Required fraction
= 16/35
Disclaimer : I assume these are all straight lines and the shapes are rectangles (A might actually be a square)
Let A's breadth be the horizontal side and its breadth be the vertical side.
A's area is 3/4 of C's area. Since both have a common (same) breadth ,
Length of A = 3/4 of length of C
We can say length of A is 3 units, length of C is 4 units. Ratio is 3 : 4
Combined length = 7 units
A's area is 1/4 of B's area. Since A's length and B's breadth are common (same),
Breadth of A = 1/4 of length of B.
We can say breadth of A is 1 unit, length of B is 4 units. Ratio is 1 : 4
Combined length = 5 units
The entire figure is a rectangle. Its length is
7 units and breadth 5 units
Its area = 7 units x 5 units
= 35 square units
D's area = 35 square units - 3 square units(A) - 4 square units(C) - 12 square units(B)
= 16 square units
Required fraction
= 16/35
Edited
Alternatively,
D has a common (same) length as B. Its breadth is equal to C's length.
Area of D
= 4 units x 4 units
= 16 square units
Total area
= (16 + 3 + 4 + 1) square units
= 35 square units
Required fraction
= 16/35
D has a common (same) length as B. Its breadth is equal to C's length.
Area of D
= 4 units x 4 units
= 16 square units
Total area
= (16 + 3 + 4 + 1) square units
= 35 square units
Required fraction
= 16/35
See 1 Answer
done
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You are a step in the right direction by putting down the areas of A, b and c to match the fractions given! :) From the figure we see A and C share one side, B and D also share one side. So for area A:Area C to be 3:4 the ratio of the non shared side must also be 3:4. Same for B and D. Hope this makes sense!
Date Posted:
3 years ago
Thank you :))
A and C share the same breadth (short side), not length. So the ratio of lengths is 3 : 4.
The lengths of A and C are equal to the breadths of B and D respectively.
The lengths of A and C are equal to the breadths of B and D respectively.
Thank you
I have a slightly different method in the main comments section. Feel free to check it out if
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