Length - high school - practice problems - page 21 of 31
Number of problems found: 616
- Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Circumference 4255
The rectangle has a circumference of 24 cm so that its area is maximum and its length is larger than its width. Find the dimensions of a rectangle. - A stone
There is a stone weighing 60 kg on the billet. The distance from the support point to the stone is 20cm. The length of the billet is 1m. Determine the force exerted by the hand at the end of the billet. - Mrak - cloud
It is given segment AB of length 12 cm, where one side of the square MRAK is laid on it. MRAK's side length is 2 cm shown. MRAK gradually flips along the line segment AB the point R leaves a paper trail. Draw the whole track of point R until the square ca
- Abbreviation 4148
From point A to point C, an educational trail passes through point B and a red tourist sign; see the picture. In addition, an undrawn abbreviation 1500 meters long, starting at A and ending on the nature trail, can be used. Vojtech found that • the trip f - 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. - Moon
We see Moon in the perspective angle 28'. Moon's radius is 1740 km at the time of the full Moon. Calculate the mean distance of the Moon from the Earth. - Square and rectangle
Calculate the side of a square, which area equals the area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square. - Resistivity 3983
What was the length of an iron wire with an area of 3cm² if its resistance was 15 ohms? Iron (Fe) resistivity is 0.0996 x 10 at -6 Ohm/meter.
- Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm. - Diagonals
A diagonal of a rhombus is 20 cm long. If its side is 26 cm, find the length of the other diagonal. - Rectangle
Calculate the area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width. - The rectangle
The length and width of a rectangle are in the ratio of 5:2. Its length is 7.5 cm longer than its width. Find the area of the rectangle. Determine also its length and its width. - Inscribed 3689
There is a triangle ABC whose perimeter is 2s (2s = a + b + c), and the circle k (S, ρ) is the inscribed circle of the triangle. Calculate the length of the tangent of the circle k from point A.
- Cycling trip
At 8 AM start, a group of children from the camp started on a day cycling trip. After 9:00, the weather deteriorated sharply, and the leader decided to send for the children's bus on the same route, which started at 10 hours. For how long and at what dist - Horizontal Cylindrical Segment
How much fuel is in the horizontal cylindrical segment tank with a length of 10m, a width of level 1 meter, and a level is 0.2 meters below the tank's upper side? - Percentage 3481
We turned a sphere with the largest possible radius from a cube with an edge length of 8 cm. Calculate the volume of the cube, the ball, and the percentage of waste when turning. - Church roof
The roof of the church tower has the shape of a regular tetrahedral pyramid with a base edge length of 5.4 meters and a height of 5 m. It was found that the 27% covering of the roof area needs to be corrected. What amount of material will be required? - The tent
The tent shape of a regular quadrilateral pyramid has a base edge length a = 2 m and a height v = 1.8 m. How many m² of cloth did we need to make the tent if we have to add 7% of the seams? How many m³ of air will be in the tent?
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