# 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

• Coordinate axes
Determine the area of the triangle given by line -7x+7y+63=0 and coordinate axes x and y.
• Calculate 7
Calculate the height of the trapezoid ABCD, where coordinates of vertices are: A[2, 1], B[8, 5], C[5, 5] and D[2, 3]
Calculate the radius of the circle whose length is 107 cm larger than its diameter
• Cutting square
From a square with a side of 30 cm, we cut the circle with the highest possible diameter. How many percents of the square content is this circle?
• Diagonal of the rectangle
Calculate the diagonal of the rectangle which area is 54 centimeters square and the circuit is equal to 30 cm.
• Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m.
• Diagonals of diamond
Find the area and circumference of the diamond ABCD with 15m and 11m diagonals.
• Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitutes sizes consecutive members of arithmetic progressions.
• Shell of cylinder
Calculate the content of shell the 1.6 m height cylinder with a base radius of 0.4 m.
• Trapezoid v3
The isosceles trapezoid has the angle at a firsst base 40 degrees less than the angle at second base. How large angles has this trapezoid ?
• Rhombus 4
Circumference of the rhombus is 44 cm, its height is 89 mm long. Calculate its content area.
• A rectangular patio
A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio.
• Diagonals
Calculate the length of the diagonals of the rhombus if its side is long 5 and one of its internal angle is 80°.
• Rhombus HP
Calculate area of the rhombus with height 24 dm and perimeter 12 dm.
• Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.
• Square Number
If to a square of integer number add 17, we get the square of the next integer number. What is the original number?
• The second
The second angle of a triangle is the same size as the first angle. The third angle is 12 degrees larger than the first angle. How large are the angles?
• Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
• Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length 8cm. Calculate the circumference and the hexagon area.
• Triangle
Calculate the area of right triangle ΔABC, if one leg is long 14 and its opposite angle is 59°.

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