# 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 m^{2}. 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

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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