# Planimetrics - math word problems

Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.

#### Number of problems found: 1947

• Is right triangle Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m
• Vertices of RT Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle.
• Garden How many steps of 76 cm circumvent square garden with area 1.8 ha?
• Trapezium zoom How many times increase area of trapezoid if all sides and altitude increase 5 times? Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
• How many How many different rectangles with integer page lengths have an area S = 60 cm²?
• Calculate Calculate the area of the ABE triangle AB = 38mm and height E = 42mm ps: please try a quick calculation
• Triangle ABC Triangle ABC has side lengths m-1, m-2, m-3. What has to be m to be triangle a) rectangular b) acute-angled?
• Type of triangle How do I find the triangle type if the angle ratio is 2:3:7 ?
• Cross five The figure on the picture is composed of the same squares and has a content of 45cm². What's its perimeter?
• Hexagon Calculate the surface of a regular hexagonal prism whose base edge a = 12cm and side edge b = 3 dm.
• Fence of the garden The garden has dimensions of 5m and 400cm. How many meters meshes are needed for fencing the plot?
• Triangle perimeter Calculate the triangle perimeter whose sides are in ratio 3: 5: 7 and the longest side is 17.5 cm long.
• Square and circles Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
• Square side Calculate length of side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0.
• Integer sides A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?
• Two triangles SSA Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14
• Octagon We have a square with side 84 cm. We cut the corners to make his octagon. What will be the side of the octagon?
• Coordinates of square vertices The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square.
• Chord - TS v2 The radius of circle k measures 87 cm. Chord GH = 22 cm. What is TS?

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