Planimetry - math word problems - page 14 of 72
Number of problems found: 1438
- 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). - 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? - 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. - 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? - 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? - Connecting lines
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the area of the square ABCD is the area of the square created in its center by connecting the points AF, BG, CH, and DE? - Quadrangle ACEG
The figure shows two rectangles ABCD and DEFG, with |DE| = 3 cm, |AD| = 6 cm, |DG| = 5 cm, and |CD| = 10 cm. Calculate the area of quadrilateral ACEG. Figure description: the two rectangles share vertex D. Rectangle ABCD has sides twice as long as those o - Right triangle - legs
Calculate the area of a right-angled triangle ABC with a=15 cm, b=1.7 dm. - Circle area radius
Calculate the area of a circle whose radius is 9 m. (in square meters) - Mining wheel descent
The mining tower's wheel has a diameter of 150 cm. If the wheel turns in the same direction seventy times, how many m will the elevator cage descend? - Square plot mesh
How many meters of mesh are needed to fence a square plot whose side measures 20 m? - Triangular flowerbed
A gardener plants one row of tulips around a triangular bed with sides of 5 m, 6 m, and 10 m. How many tulip bulbs does he need if he wants to plant 8 bulbs on a length of 1 m? - Garden hedge area The square-shaped garden has a hedge on three sides. Its length is 36 meters. What is the area of the garden in m²?
- Skier semicircle distance
A skier skis down a black slope. He makes a total of 31 half-circles while going down the hill. The radius of one semicircle is 4 m. What distance did he travel? - Rectangle perimeter area
One side of the rectangle has length a=9/5 cm, and the length of side b is 7/10 cm greater than the length of side a. Calculate the perimeter and area of the rectangle. - Different circles
Draw five circles with different radii. Measure the diameter of each circle and compare it to its radius. What is true about them? - Triangle perimeter sides
Calculate in cm the perimeter of a triangle with sides a, b, and c. If a is two-thirds of side b, c is three-fifths side b; b=15 cm.
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