41 P4.AP.JC.18012093
Level 3
The figure is made up of a rectangle and a square of side 7 cm. Find the area of the shaded part.
3 m
Square Rectangle Equal stage
42 P4.AP.JM.17100170
Level 3
A square has the same perimeter as the rectangle shown. Find the area of the square.
3 m
Square Rectangle Equal stage
43 P4.AP.JM.17100186
Level 3
The figure shows a big square of side 14 cm. Four small 3 cm squares are cut out from the four corners of the big square. Find
  1. the perimeter of the figure,
  2. the area of the remaining figure.
3 m
Square Rectangle Composite figure perimeter Composite figure area
44 P4.AP.JM.17100187
Level 3
The figure shows a big rectangle measuring 14 cm by 10 cm. Four small squares of side 2 cm are cut out from the four corners of the big rectangle. Find
  1. the perimeter of the figure,
  2. the area of the remaining figure.
3 m
Square Rectangle Composite figure perimeter Composite figure area
45 P4.AP.JM.17100188
Level 3
The figure shows a rectangle of breadth 10 cm and 4 similar squares of side 4 cm. The area of the shaded part is 286 cm2.
  1. What is the length of the rectangle?
  2. What is the perimeter of the rectangle?
3 m
Length Square Rectangle Composite figure perimeter
46 P4.AP.JM.17100167
Level 3
The square on the right has the same perimeter as the rectangle on the left. Find the area of the square.
3 m
Square Rectangle Equal stage
47 P4.AP.JM.17100190
Level 3
The figure is made up of 4 rectangles. Find the area of the shaded part.
3 m
Rectangle Rectilinear figure
48 P4.AP.JM.17100184
Level 3
Figure A is a square with a perimeter of 56 cm. Figure B is a rectangle with breadth of 7 cm. Given that both figures have the same area, find the perimeter of Figure B.
3 m
Square Rectangle Equal stage
49 P4.AP.JM.17100183
Level 3
The diagram shows square X and rectangle Y. The length of rectangle Y is 9 cm longer than its breadth. The breadth of rectangle Y is the same as the length of square X. The perimeter of square X is 56 cm. Find the area of rectangle Y.
3 m
Length Square Rectangle Equal stage Model Comparison
50 P4.AP.JM.17100172
Level 3
The perimeter of a rectangle is 48 cm. Its length is 3 times as long as its breadth. Find its area.
3 m
Rectangle Model Times-as-many Units method
51 P4.AP.JM.17100171
Level 3
Adam ran around a rectangular field from W to X to Y to Z and back to W. He covered a distance of 300 m. If the length of the field is twice the breadth, what is the area of the field?
3 m
Rectangle Model Times-as-many Units method
52 P4.AP.JM.17100175
Level 3
A square of side 6 cm has the same perimeter as a rectangle. Find the area of the rectangle if the length of the rectangle is twice the breadth of the rectangle.
3 m
Square Rectangle Equal stage Model Times-as-many Units method
53 P4.AP.JM.17100192
Level 3
The figure is made up of a shaded rectangle inside a square. The length of the square is 10 cm and its area is 5 times the area of the shaded rectangle. What is the breadth of the shaded rectangle if its length is 12 the length of the square?
3 m
Square Rectangle Fraction of a whole Model Times-as-many
54 P4.AP.JM.17100173
Level 3
The breadth of a rectangle is 23 as long as its length. Given that the perimeter is 80 cm, find its area.
3 m
Rectangle Fraction to units Units method
55 P4.AP.JM.17100177
Level 2
The area of a rectangle is 54 cm2. Given that its breadth is 23 of its length, find its perimeter.
3 m
Rectangle Fraction to units Units method
56 P4.AP.JM.17100114
Level 2
The figure is made up of two squares X and Y. The length of square X is equal to AO, and AO = OB. If the area of the shaded region is 9 cm2, find the length of square Y.
3 m
Length Square Square & square root Equal stage
57 P4.AP.JM.17100176
Level 3
The length of a rectangular field is twice that of its width. The width of the field is 28 m. Find
  1. the perimeter of the field.
  2. the area of the field.
3 m
Rectangle Model Times-as-many
58 P4.AP.JM.17100145
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.
3 m
Square Square & square root Rectangle Rectilinear figure
59 P4.AP.JM.17100236
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.
3 m
Square Square & square root Rectangle Equal stage
60 P4.AP.JM.17100238
Level 3
The breadth of a rectangle is 14 as long as its length. The area is 100 cm2, find its perimeter.
3 m
Rectangle Fraction to units Units method

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