Basic operations and concepts - math word problems - page 186 of 319
Number of problems found: 6378
- Numerically 4839
Calculate the diagonal of such a square, which holds that its area is equal to its perimeter (without considering units numerically ...).
- Equilateral 4486
If we increase one side of the triangle by 11 cm and reduce the other by 11 cm, we get an equilateral triangle. Four times the shortest side of the triangle is 10 cm greater than three times the triangle's longest side. Find all the lengths of the sides o
- 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?
- Rectangular plot
The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the plot's perimeter is 36m. Find the area of the diagonal of the plot.
- Gardens
The garden has a square shape with a circumference of 124 m. Divide it into two rectangular gardens; one should have a circumference of 10 meters more than the second. What size will the gardens be?
- Lawn and garden
The garden around the new house is divided as follows: 30% flowers, 35% orchards, and 150 m² form a lawn. What is the total area of the garden?
- Quatrefoil 81138
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters.
- Circumference 47903
The rectangle's length is 35% larger than its width, and the circumference is 188 cm. Calculate its area.
- Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed.
- 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-
- Gear
Two gears fit into each other and have a transfer of 1:2. The centers of gears are spaced 96 cm. What are the radii of the gears?
- Cu thief
The thief stole 25 meters of copper wire with a cross-section area of $s mm². Calculate how much money is earned on scrap redemption if copper is redeemed for 5.1 Eur/kg. Copper's density is 8.96 t/m³.
- Percentage 3980
Calculate the percentage of waste when we cut out 4 of the largest possible circles from a square sheet with sides of 1 meter.
- 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?
- Two squares
Two squares with sides in the ratio 3:7 have a sum of their perimeters 58 cm. Calculate the sum of the area of these two squares.
- Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters.
- The circumference
The circumference and width of the rectangle are in a ratio of 5:1. Its area is 216 cm². What is its length?
- Rectangular garden
The perimeter of Peter's rectangular garden is 98 meters. The width of the garden is 60% shorter than its length. Find the dimensions of the rectangular garden in meters. Find the garden area in square meters.
- Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the needle on the scale was bent. How much did they really weigh?
- Flooring 46511
The carpet covers 8 m² of flooring, which is one-third of the entire floor area. How big is the whole floor?
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