# 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: 2205

• Rhombus problem
The perimeter of the rhombus is 268 m, and its area is 2278 m2. Calculate the height of the rhombus.
• Circle chord
What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m?
• Triangle SAS
Calculate the triangle area and perimeter, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
• Playground
The rectangular playground is fenced with 38 m long netting. Its width is 7 m. Calculate its length.
• Garden plot
Calculate how many meters of fence need to fence the square garden with length and width of 12 meters.
• Circle in rhombus
In the rhombus is an inscribed circle. Contact points of touch divide the sides to parts of length 19 cm and 6 cm. Calculate the circle area.
• Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm.
• Rectangle
Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?
• Cube - angles
Calculate angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base.
• Rhombus
Calculate the perimeter and area of ​​a rhombus whose diagonals are 39 cm and 51 cm long.
• Triangles
Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle.
• Square and circles
Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
• Cube diagonal
Determine the length of the cube diagonal with edge 37 mm.
Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height ladder touches the wall?
• Triangle SAA
The triangle has one side long 71 m and its two internal angles is 60°. Calculate the perimeter and area of the triangle.
• Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 50 cm, |BC|=25 cm, |CD|=10 cm, |AD|=25 cm..
• Bicycle wheel
A bicycle wheel has a diameter of 60 cm. Approximately how many times does the wheel rotate at 2.5 km long trip?
• N-gon angles
What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?
• Triangle SSS
Calculate perimeter and area of ​​a triangle ABC, if a=53, b=46 and c=40.
• Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Nitrianske Pravno (354 m AMSL), if the track is 11 km long.

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