Area of Square Problems - page 48 of 83
Number of problems found: 1649
- 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. - Dipole - complex power
For a dipole, calculate the complex apparent power S and the instantaneous value of the current i(t), given: R=10 Ω, C=100uF, f=50 Hz, u(t)= square root of 2 * sin( ωt - 30°). Thanks for any help or advice. - Bed 10
A bed in the shape of two equilateral triangles sharing a common side, with a side length of 2.5 m, is to be planted with seedlings of an ornamental shrub. The gardener recommended leaving 40 cm between individual seedlings and 10 cm from the perimeter ed - Perpendicular sides
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M. The quadrilateral ABMJ - Socík
On the construction site of a new housing estate in Kladno-Kročehlavy, students from the state labour reserve carried out machine plastering of the masonry. 5 students using machines plastered 10 square metres more masonry than 6 plasterers working by han - Flowerbed
The family has tulips on a square flower bed of 6 meters. Later, they added a square terrace with a side of 7 meters to their house. One vertex of the terrace lay exactly in the middle of a tulip bed, and one side of the terrace was divided by the side of - Studio flooring
The television studio plan is made on a scale of 1:150. It shows a rectangular studio measuring 5 cm and 6 cm. If we pay 356 crowns for 1 m² of floating floor, how many crowns will we pay to cover the studio with a floating floor? - Squares above sides
Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm². The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2:1 ratio. The AC side is longer than the BC side. Calcu - Z6–I–2
Mr. Kockorád owned a rectangular-shaped garden, on which he gradually paved paths from one side to the other. The paths were equally wide, crossed each other at two places, and the already paved area was skipped when paving further. When Mr. Kockorád pave - Orchard
The route passes the trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3. The length of the longer base to the size of the path is in the ratio of 5:6. How many square meters occupy the - Black building
Jozef built a building with a rectangular footprint of 3.9 m × 6.7 m. Calculate by what percentage the building exceeds the legal limit of 25 m² for a small building. A building constructed without planning permission is called an illegal building. Also c - Cu thief
A thief stole 25 metres of copper wire with a cross-sectional area of $s mm². Calculate how much money the thief receives by selling it as scrap if copper fetches 5.1 EUR/kg. The density of copper is 8.96 t/m³. - Tree planting
The trapezoidal garden has bases 44 m and 16 m long. Their distance is 25 m. How many square meters of its area will remain for tree planting if we use 1/5 of the entire site to construct a cottage, backyard, and road? Is it possible to find the fence len - Territory
In an old legend about the founding of Rome, it is said that Romulus and Remus could obtain for their city as much land as a single hide from a bull would cover. Romulus and Remus came up with a trick, they cut the hide into strips and with them bounded t - Folding table
A folding kitchen table is rectangular with an area of 168 dm² and one side 14 dm long. If necessary, it can be enlarged by attaching two semicircular plates along the sides b. By what percentage does the table area increase? Round the result to the neare - Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your - Traffic sign material
Traffic signs are equilateral triangles with a side length of 900 mm. How many euros does a galvanized sheet cost to produce 50 pieces of such brands if we consider adding 15% of the material for waste? The price of 1 square meter of sheet metal is 6.5 eu - Coat of arms
The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo - Cardboard box
Peter had a square piece of cardboard whose edge length was an integer number of decimetres. He cut a 3 dm square from each corner and folded up the sides to make a box that held exactly 108 unit cubes (each with a 1 dm edge). Julia cut 2 dm squares from - Wallpapering a room
The walls of a room are to be covered with wallpaper from floor to ceiling. The room is rectangular. It is 3 m wide, 5 m long, and 2.5 m high. In one wall there is a door, which together with the frame occupies a rectangle with dimensions 80 cm and 2 m. I
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