Planimetry - math word problems - page 14 of 187
Number of problems found: 3739
- A boy 5
A boy starts at A and walks 3 km east to B. He then walks 4 km north to C. Find the bearing of C from A. - Vertical components
Find the horizontal and vertical components of the vector which has a magnitude of 750 as shown in the figure. - Angle and slope
Find the angle between the x-axis and the line joining the points (3, −1) and (4, −2). - Area 68
The area of a square is 49 cm². Find side a, then the perimeter of the square. - Wall 8
A wall is 2.8 m high and 4.5 m wide. What is its area in m²? - Path 11
A path 1.5 metres wide is to be built around the perimeter of a square plot of land with a side of 28 metres. By how much will the total occupied area increase? - Third angle
What is the third angle of a triangle if the first two angles are 50° and 60°? - Perimeter 37 The perimeter of a square is 18. What is the length of its side, and what is its area?
- Calculate 263
Calculate the area of a rhombus whose diagonals are u = 12 and v = 19. - Oval running
Jan runs around a circle with a diameter of 24 m. How many kilometres will he run if he goes around the circle four times? - Perimeter 59
The circumference of a circular bed is 36 m. Find the length of the arc corresponding to the following central angles: 90°, 45°30′, 120°, 15°. - Padded 2
How many square metres of material are needed to make 40 equilateral triangular wooden pads with sides of 30 cm and a height of 26 cm? - Rhombus - diagonals
Rhombus ABCD has diagonals u₁ and u₂ that make an angle of 60° with each other. Side a = 80 cm and side b = 50 cm. Calculate the area of the rhombus. - Tractor 18
A tractor pulls four seeders, each 18/5 metres wide. The tractor moves at a speed of 4.5 km/h during sowing. How many hectares of field will the tractor driver sow in 7.5 hours? - Railing 3
A railing in a museum is filled with 18 glass panels in the shape of parallelograms with a side length of 40 cm and a corresponding height of 65 cm. How many m² of glass were needed to produce these panels? - Orchard 5
An orchard has dimensions of 70 m × 180 m. How long is the fence around the orchard if there is a 3 m wide gate on one side? - Grass seed
How many kilograms of grass seed are needed to establish a lawn on a rhombus-shaped plot of land with sides of 55 m and 40 m, if the height to the shorter side is 22 m and 1 kg of seed is sufficient for 40 m²? - In a right-angled 15
In a right triangle ABC with hypotenuse c, leg b = 4.5 cm and tan α = 2/3. What is the length of leg a? - Family - land
The Veselý family bought a plot of land measuring 30½ m by 26⅔ m. Before they start building, they want to fence it. How many metres of fencing do they need to buy if they leave 2⅞ m for the gate? - Parallelogram Angles
In a parallelogram, ABCD, the angle at vertex B is 108°. What is the angle size at the vertex D?
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