Planimetrics - math word problems - page 40 of 184
Number of problems found: 3667
- Parallelogram 6385
The parallelogram is given by: a, b is adjacent sides, va, vb - the respective heights to the individual sides. Calculate its side a, if b = 6cm, va = 3cm, vb = 4cm
- Circumference 5254
Calculate the shorter side and the diagonal of the rectangle if one side is 2 cm longer than the other and its circumference is equal to 70 centimeters.
- Circle and square
An ABCD square with a side length of 100 mm is given. Calculate the circle’s radius that passes through vertices B, C, and the center of the side AD.
- Land
A rectangular, triangular piece of land has an area of 30 square meters and a 12 meter-long leg. How many meters of fence do you need to fence this piece of land?
- Disc
The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc?
- Expression 19303
The area of the diamond is 112 cm square, and the length of its side is given by the expression x + 5 cm. Calculate this length if the height of the diamond is v = 7 cm.
- Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4?
- A truck
A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)?
- Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 cm.
- A goat
In the square garden of side (a), a goat is tied in the middle of one side. Calculate the length of the rope (r) so that the goat grazes exactly half the garden. If r = c * a, find the constant c.
- The tractor
The tractor sows an average of 1.5 ha per hour. How many hours does it sow a rectangular trapezoid field with 635m and 554m bases and a long arm of 207m?
- Circumference 8137
One side of the rectangle is 8 cm long. When we enlarge the dimensions of this rectangle four times, we get a rectangle with a circumference of exactly 1m. How many mm does the other side of the unmagnified rectangle measure?
- Darnell
Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing?
- Area of garden
If the width of the rectangular garden is decreased by 2 meters and its length is increased by 5 meters, the area of the rectangle will be 0.2 ares larger. If the garden's width and length will increase by 3 meters, its original size will increase by 0.9
- Two lands
The common area of the two neighboring lands is 964 m². The second land is smaller by 77 m2, twice the size of the first land. Find the areas of each land.
- Hectares 54981
The actual area of the square garden is zero whole zero, 875 hectares. How many meters of mesh will Mr. Novák need to fence it if a gate 80 cm wide and 2 m high leads to the garden?
- Perimeter 44281
We used 30 m² of floor covering for the floor in the 12 m long corridor. How many m of perimeter rail do we need if we put it on all sides?
- Square 28803
The garden is 1 cm wide and 90 km long when we turn it into a square with the same area. How long will the square be?
- Rectangle 8287
The soccer player circled the field in a rectangle seven times. He walked 840 meters. How long are the sides of the course if one side is 20 meters longer than the other?
- Dimensions 4118
The width of the rectangle is 17 cm smaller than its length. The perimeter of the rectangle measures 0.9 m. Find the remaining dimensions and calculate their area.
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