Area of a shape Conversion Word Problems - page 14 of 32
Number of problems found: 639
- Natural fertilizer
The gardener fertilized the rectangular garden measuring 120 m and 60 m with 16 kg of natural fertilizer. Natural fertilizer contains 45% organic matter. How much organic matter falls on 1 m² of the garden? - Parallelogram - area
Calculate the area of the parallelogram if the sides are a = 80, b = 60 long, and the size of the diagonal angle is 60°. - Glass
At the glass shop, we have to cut eight sheets of glass. Each was shaped as a square with sides of 18 cm. We paid 44 CZK. How much is 1 m² of glass? - Diagonals in the diamond
The length of one diagonal in a diamond is 19 cm greater than the length of the second diagonal, and the diamond area is 32 m². Determine the sizes of the diagonals. - Widescreen monitor
Widescreen monitors and televisions have flooded the market. Calculate the screen area of an LCD monitor with a diagonal of 27 inches at a 4:3 aspect ratio and then at a 16:9 aspect ratio. Is buying a widescreen monitor with the same diagonal more advanta - Bathroom 3
A bathroom measures 300 × 210 cm. What is the largest square tile size that can be used to cover the floor without cutting, and how many such tiles will be needed? - Park path triangle
The paths in the park form a right-angled triangle, which on the map with a scale of 1:200 has two dimensions of side lengths of 9 cm and 15 cm. Grandma walks this route every day for a health walk. How many meters does she walk? - Map scale reduction
Cyril marked a square plot of land on a map with a scale of 1 ∶ 50,000 and calculated that its side corresponds to 1 km. He reduced the map on the copier so that the marked square had an area smaller by 1.44 cm² than on the original map. What was the scal - ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand - Cone roof consumption
The roof of a tower has the shape of a lateral surface of a cone with a base diameter of 4.3 m. The angle between the slant side and the base plane is 36°. Calculate the amount of sheet metal needed to cover the roof, allowing 8% for waste. - The floor
The floor in the gym has dimensions of 6 * 12 m. Parquets have a size of 30 * 20 cm. Parquets are packed in packages of 50 pieces, and one parquet package costs 150 CZK. How many packages will we need? How much will it cost? - Harvester
The harvester has a cutting width of 4 m, and the harvested grain in the field is 87 meters wide. Harvester moves along the field's length for six minutes; going back (without cutting) takes half the time. Each turn at the end field takes one minute. How - Trapezoid MO
Right-angled trapezoid ABCD has a right angle at vertex B. Given that |AC| = 12, |CD| = 8, and the diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Rectangular roof
Our house's roof is rectangular. When it rains, the water drains through the gutter. How much water flowed from our roof during a storm when we know that 12 liters of water fell on every 1 m² of surface? The roof width is 6 m, the length is 9 m, and the s - Hydraulic jack force
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston? - Advertising Board Rent Cost
Renting a 1 m² advertising board costs €780 per month. A rectangular advertising board has a length of 3 m and its diagonal makes an angle of 34 degrees with the longer side. Calculate how much € an entrepreneur will pay for 4 months of renting a blackboa - Gardens colony
The garden's colony, with dimensions of 180 m and 300 m, is to be completely divided into the same large squares of the highest area. Calculate how many such squares can be obtained and determine the length of the square side. - The heights
The heights of some dogs are shown in the table. (1 cm = 10 mm) Dog; Height Sam ; 280 mm Charlie; 56 cm Gus; 81,3 cm Buster; 635 mm Max; 38 cm Duke; 61 cm Which list shows the heights of the dogs from tallest to shortest? A. Max, Charlie, Duke, Gus, Sam, - Pavilion
The rectangular pavilion with dimensions of 3.5 m and 2.75 m is to be paved with square tiles of side 25 cm, with a price of CZK 22 per 1 piece, or rectangular tiles with sides of 20 cm and 15 cm at the price of CZK 11 per 1 pc. Which solution is cheaper - Road roller calculation
The road roller has a base diameter of 1.2 m and a length of 180 cm. a) how many times did he turn on the road when he walked 2 km during work? b) what is the largest area it can cover if it turns 1000 times? c) how many kilometers will he travel if he co
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