Basic operations and concepts - math word problems - page 191 of 332
Number of problems found: 6633
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6 cm long and 4 cm high. - Gear
Two meshing gears have a gear ratio of 1:2. The distance between their centres is 96 cm. What are the radii of each gear? - Triangle height calculation
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height? - Flowers + orchards + lawn
The garden around the flat house is divided as follows: 30 percent flowers, 35 percent orchards, and 150 square meters from the lawn. What is the total area? - Kite
John has a kite, which is diamond-shaped (rhombus). Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper does John need to make a kite if he needs paper on both sides and needs 5% of the paper for bending? - Rectangles
Vladimir likes to draw rectangles. Yesterday, he created all rectangles with sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn? - Square side
If we enlarge the square side a = 5 m, its area will increase by 10,25%. How much percent will the side of the square increase? How many percent will it increase the circumference of the square? - Rectangular plot
The dimensions of a rectangular plot are (x + 1) m and (2x − y) m. The sum of x and y is 3 m and the perimeter of the plot is 36 m. Find the area of the plot and the length of its diagonal. - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Triangle area
In an isosceles triangle, the base length is 75% of the arm's length. If the circumference is 22 cm, calculate the area of the triangle. - Rectangle
In rectangle ABCD with sides |AB|=19, |AD|=19, a perpendicular is drawn from point A to diagonal BD, meeting it at point P. Determine the ratio r = (|PB|)/(|DP|). - Tiles
The pupils of the building school have to calculate how many roof tiles they will need to cover the roof of the house in the shape of two rectangles measuring 10 x 7.2 m. One roof tile covers a rectangular area of 22 cm x 32 cm. How many tiles will they n - Hall
A rectangular hall is to be paved with square tiles with a side length of 15 cm. The hall has a length of 18 meters and a width of 3 m. How many tiles do you need to buy if 2 percent of the amount are damaged during the work? - What is
What is the circumference of an isosceles trapezoid with an area of 106.75 cm²? The lengths of the sides are in the ratio of 1:3:2:1, and the bases are 6.1 cm apart. - Fabric width consumption
The vest consumes 170 cm of fabric with a width of 140 cm. What is the consumption of a material that is 150 cm wide? - Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - Rectangles
The perimeter of a rectangle is 90 m. Divide it into three rectangles. The shorter side has all three rectangles the same. Their longer sides are three consecutive natural numbers. What are the dimensions of each rectangle? - The sides The sides of a rectangle are in a ratio of 2:3, and its perimeter is 1 1/4 inches. What are the lengths of its side? Draw it.
- 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. - BW-BS balls
Adam has a full box of large or small balls, black or white. The ratio between large and small balls is 5:3. Within the large balls, the ratio of black to white is 1:2, and between small balls, the ratio of black to white is 1:8. What is the ratio of all-
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