Planimetry - practice problems - page 5 of 72
Number of problems found: 1438
- Paper
The drawing paper has dimensions 220 mm and 308 mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares. - Edmond 2
Edmond bought a new cage for his pet rabbit since he's gotten so big. The area of the old cage's floor was 6 square feet. The area of the new cage's floor is n square feet larger, for a total of 8 square feet. Write expressions that tell this story and fi - Grassland and goat
An unfenced piece of grassland is a right triangle ABC with AB = 4 m, BC = 8 m, and AC as the hypotenuse. A goat is tied to a 5-metre rope with its stake at point O, which is 2 m from side AB and 2 m from the extension of side BC beyond corner B. Then: 1. - A rectangle 15
A rectangle is 5 cm longer than its width. Its area is 6 cm². What are the dimensions of the rectangle? - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - Jason 2
Jason built a rectangular tool shed that is 888 meters wide and has an area of 969696 square meters. What is the length of Jason's tool shed? - Poured liquid
If I pour 59 ml of liquid into an area of 594 sq mm, how thick would the liquid be? - FRAMES
Joe is making picture frames out of wood. The length of each frame is 10 inches, and the width is 8 inches. Each piece of wood used to make the frames is 8 feet long. How many pieces of wood will he need to make 10 picture frames? Clue: find the perimeter - A sandbox
3/4 a sandbox has an area of 20 square feet. The length is 6 1/2 feet. What is the width of the sandbox? - The length 19
The length and the width of a rectangle are (x+2) and (x-3). If it area is 24 cm², what are its dimensions? - Trapezoid 52
Trapezoid perimeter = 39a-7. Three sides have the following length: 9a, 5a+1, and 17a-6. What is the length of the fourth side? - Perimeter - general
Solve: the perimeter of a triangle is 4x+1.if two of it side are(x+2) and (x-1). Find the third side. - A rectangle 13
A rectangle has an area of 15 square inches. What is the unknown side length if one side length is 1 2/3 inches wide? - The playground 2
The dome is built on the playground. The dome covers an area of 1 2/3 square meters, which is 5/840 of the total area of the playground. What is the total area of the playground? - Parallel sides
Area of trapezium is 45 sq cm and sum of the length of parallel sides is 15 cm. Find height of the trapezium. - Use the formula for area
A parallelogram has sides of 15 cm and 12 cm. If the distance between 15 cm sides is 6 cm, find the distance between 12 cm sides. - Width and length
For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle? - The triangle 6
The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning. - A sticky
A sticky note shaped like a rectangle has an area of 72 square centimeters. It has a width of 8 centimeters. How long is the sticky note? - A triangle 9
A triangle has an area of 16 1/2 square units. The height is 3 2/3. What is the base?
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