Planimetrics - math word problems - page 101 of 169
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: 3379
- Trapezoid 18313
Find the points A1 B1 symmetric along the y-axis to the points A [-4,0], B [-1,4]. Calculate the perimeter of the trapezoid AB B1 A1. - Calculate 6706
Given a triangle KLM points K [-3.2] L [7, -3] M [8.5]. Calculate the side lengths and perimeter. - Calculate 4865
Calculate the length of the line segment AB, given A [8; -6] and B [4; 2] - Flowerbed
We enlarged the circular flower bed, so its radius increased by 3 m. The substrate consumption per enlarged flower bed was (at the same layer height as before magnification) nine times greater than before. Determine the original flowerbed radius. - Square into three rectangles
Divide the square with a side length of 12 cm into three rectangles with the same circumference so that these circumferences are as small as possible. - The triangles
Two similar triangles, KLM and ABC, are given. Calculate the lengths of the remaining sides of the triangle KLM. If the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5 - Diameter
If the endpoints of the diameter of a circle are A(-9, 10) and B (-5, -4), what is the circle's radius? - Lighthouse
The man, 180 cm tall, walks along the seafront directly to the lighthouse. The male shadow caused by the beacon light is initially 5.4 meters long. When the man approaches the lighthouse by 90 meters, its shadow is shorter by 3 meters. How tall is the lig - Type of triangle
How do I find the triangle type if the angle ratio is 2:3:7? - Interesting property
Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle? - Ratio of perimeters
Rectangle ABCD has dimensions 3 cm and 4 cm, KLMN rectangle has dimensions 4 cm and 12 cm. Calculate the ratio of the perimeter ABCD and perimeter KLMN. - Circumference of the garden
The garden is 90 m long. What is the smallest width if it is possible to walk (circumference) in steps of 80 cm or 50 cm? - Carpet
The room is 10 x 5 meters. You have the role of carpet width of 1 meter. Make a rectangular cut of a roll. That piece of carpet will be the longest possible and will fit into the room. How long is a piece of carpet? Note: The carpet will not be parallel w - Calculate 14733
Square has the side a = 12 cm. Calculate the area of a triangle in the square. - Rectangular 6892
How does one dimension of a rectangular garden depend on another if the garden has an area of 500 m²? - Wheat
The rectangle-shaped field with dimensions 1268 m and 745 m harvested last year was 4959 q wheat. (1 q = 1 quintal = 100 kg). During the year, it was necessary to fix the pipe and therefore did kick wide 4 m parallel to the side of the field 745 m, were n - Rectangular trapezoid
The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62cm. Calculate the trapezium area in cm square and calculate how many different perimeters - Similarity of triangles
If triangle ABC ~ to triangle XYZ, AC = 24, AB = 15, BC = 17, and XY = 9, what is the perimeter of triangle XYZ? Round all sides to 1 decimal place. - Triangle IRT
An isosceles right triangle ABC with right angle at vertex C has vertex coordinates: A (-1, 2); C (-5, -2). Calculate the length of segment AB. - Similarity
Are two right triangles similar if the first one has an acute angle 70° and the second one has an acute angle 20°?
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