# 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: 2136

• Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
• Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field?
• Forces
Determine the resultant of two perpendicular forces F1 = 560 N and second force of 25% smaller.
• Decagon
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m
• It is 2
It is 90 feet from home plate to first base on a baseball diamond. What is the area of the baseball diamond in square yards?
• Circle
How big is an area of a circle if its circumference is 51.2 cm?
• Land
Land has a rectangular shape, its surface area is 1.45 hectares. Its width is 250 m. Determine the length of the land.
• Base
Compute base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm.
• Square sides
If the square side increases by 28%, the square circumference increases by 11.2 meters. Find the length of the original square side.
• Vectors
Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c?
• Find the 3
Find the distance and midpoint between A(1,2) and B(5,5).
• Hexagon A
Calculate area of regular hexagon inscribed in circle with radius r=9 cm.
• Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence and the smallest angle is 70°.
• Four sides of trapezoid
Trapezoid is given by length of four sides: 40.5 42.5 52.8 35.0. Calculate its area.
• Garden
The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m2. Calculate the dimensions of the garden.
• Diameter
What is the inside diameter of the cylinder container and if half a liter of water reaches a height 15 cm?
The ladder has a length 3.5 meters. He is leaning against the wall so that his bottom end is 2 meters away from the wall. Determine the height of the ladder.
• Building
How high is the building that throws horizontal shadow 95.4 m long at angle 50°?
• Find the
Find the image A´ of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are real number)
• Rhombus
Internal angles of rhombus is in ratio 2:3. How many times is the shorter diagonal longer than side of rhombus?

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