Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
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Level 3
What is the area of the living room not covered by the square mat?
Level 3
What is the area of the living room not covered by the square mat?
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Level 3
The figure shows a rectangular piece of paper with 3 rectangular stickers pasted on it. The stickers have a width of 13 cm each. Find the area of the region that is not covered by the stickers.
Level 3
The figure shows a rectangular piece of paper with 3 rectangular stickers pasted on it. The stickers have a width of 13 cm each. Find the area of the region that is not covered by the stickers.
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Level 3
ABCD is a square made up of 2 squares and 2 rectangles. The squares have an area of 49 cm2 and 16 cm2 respectively. Find the area of ABCD.
Level 3
ABCD is a square made up of 2 squares and 2 rectangles. The squares have an area of 49 cm2 and 16 cm2 respectively. Find the area of ABCD.
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Level 3
In the figure, the unshaded rectangle WXYZ has a perimeter of 20 cm. A square is constructed on each of its sides. If the total area of the squares is 80 cm2, find the area of the unshaded rectangle.
Level 3
In the figure, the unshaded rectangle WXYZ has a perimeter of 20 cm. A square is constructed on each of its sides. If the total area of the squares is 80 cm2, find the area of the unshaded rectangle.
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Level 3
Figure A is a square with an area of 49 cm2. Figure B is a rectangle with breadth of 2 cm. Given that both figures have the same perimeter, find the area of Figure B.
Level 3
Figure A is a square with an area of 49 cm2. Figure B is a rectangle with breadth of 2 cm. Given that both figures have the same perimeter, find the area of Figure B.
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Level 3
The breadth of a rectangle is 14 as long as its length. The area is 100 cm2, find its perimeter.
3 m
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Level 3
Rectangle WXYZ is made up of an unshaded rectangle, an unshaded square and two shaded rectangles. The area of the square is 25 cm2 and the perimeter of the unshaded rectangle is 78 cm. What is the total area of the 2 shaded rectangles?
Level 3
Rectangle WXYZ is made up of an unshaded rectangle, an unshaded square and two shaded rectangles. The area of the square is 25 cm2 and the perimeter of the unshaded rectangle is 78 cm. What is the total area of the 2 shaded rectangles?
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Level 3
The figure shows a rectangle EFGH. ∠EHJ = 64° and ∠FHG = 34°. Find
- ∠FHJ
- ∠EFH
Level 3
The figure shows a rectangle EFGH. ∠EHJ = 64° and ∠FHG = 34°. Find
- ∠FHJ
- ∠EFH
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Level 3
A roll of wire can be bent to form either a rectangle (Figure A) or a square (Figure B). The breadth of the rectangle is 35 as long as its length. Given that Figure A has an area of 375 cm2, find the perimeter of Figure B.
Level 3
A roll of wire can be bent to form either a rectangle (Figure A) or a square (Figure B). The breadth of the rectangle is 35 as long as its length. Given that Figure A has an area of 375 cm2, find the perimeter of Figure B.
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Level 3
The figure is made up of a square ABCD and a rectangle CEFG. ∠DCG is 75°. Find the sum of ∠BCG and ∠BAD.
Level 3
The figure is made up of a square ABCD and a rectangle CEFG. ∠DCG is 75°. Find the sum of ∠BCG and ∠BAD.
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Level 3
The length of a rectangle is 4 times its breadth. The area is 64 cm2, find its perimeter.
3 m
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Level 3
In the figure, TUVW is a square and WXYZ is a rectangle. ∠TWU = 45°
and ∠VWZ = 74°. Find ∠k.
Level 3
In the figure, TUVW is a square and WXYZ is a rectangle. ∠TWU = 45°
and ∠VWZ = 74°. Find ∠k.
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Level 3
The area of a rectangle is 72 cm2. Given that its length is twice its breadth, find its
perimeter.
3 m
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Level 3
PQRS, PABS and ABRQ are rectangles. AQ is twice as long as AP. Find the area of the shaded parts.
Level 3
PQRS, PABS and ABRQ are rectangles. AQ is twice as long as AP. Find the area of the shaded parts.
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Level 3
The rectangle and square have the same area. The length of the rectangle is 4 times its breadth. What is the length of one side of the square?
Level 3
The rectangle and square have the same area. The length of the rectangle is 4 times its breadth. What is the length of one side of the square?
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Level 3
The figure is made up of a square ABCD and a rectangle DEFG. ∠CDG = 69°. ∠x is twice of ∠y. Find ∠x.
Level 3
The figure is made up of a square ABCD and a rectangle DEFG. ∠CDG = 69°. ∠x is twice of ∠y. Find ∠x.
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Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DFE = 67°. Find ∠CED.
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DFE = 67°. Find ∠CED.
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Level 3
The figure is made up of 7 identical rectangles.
- Find the perimeter of the figure.
- Find the shaded area.
Level 3
The figure is made up of 7 identical rectangles.
- Find the perimeter of the figure.
- Find the shaded area.
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Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DEF = 16°. Find ∠DEC.
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DEF = 16°. Find ∠DEC.
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