Area - math word problems - page 25 of 158
Number of problems found: 3159
- Triangle similarity area
Triangle ABC and triangle ADE are similar. Calculate in square centimeters the area of triangle ABC if the length of side DE is 12 cm, the length of side BC is 16 cm, and the area of triangle ADE is 27 cm². - Triangle colored part
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - Trapezoid plot area
The right trapezoidal plot has a basic length of 102m and 86m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing. - Trapezoid roof
The house's roof is a trapezoid of the same name, with 85 tiles at the ridge and 100 tiles at the bottom. There is always one more tiles in each row than the previous one. How many tiles do I need for the entire roof? - Triangle arithmetic sides
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides. - Sprinkler - irrigated area
A sprinkler is located in the park at a distance of 3m from the sidewalk. Water blasted up to a distance of max. 5m. What is the maximum length of the sidewalk it will cover? - Water pressure depth
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure. - Stadium map area
Find the area of the stadium, which on a map with a scale of 1:16000, has dimensions of 2cm x 3cm. - Copier paper
A standard package of printer and copier paper is labeled 80 g/m2, which means that one square meter of such paper weighs 80 g. How much does one sheet of A4 size (dimensions 210 × 297 mm) weigh? The result is rounded to whole grams. - Prism volume edge
Calculate the volume of a regular triangular prism whose height is equal to the length of the base edge. Calculate the volume for the edge length a = 6 cm. - Triangle congruent sides
The perimeter of triangle MAK is 216 mm, side a = 81 mm, and side k = 62 mm. Determine the side length of the triangle OSA if the triangle MAK is congruent to the triangle OSA. - Cube body surfaces
We assemble different bodies from five identical cubes. The volumes of all bodies are equal. Calculate the surfaces of the assembled bodies. - Dimensions - cardboard
The statements are sold in cardboard boxes – for example, the microwave oven box has dimensions of 52 cm, 32 cm, and 40 cm, and 0.4 m² of cardboard is added to the folds. How many square meters of cardboard are needed for 1,000 boxes? - Triangle similarity area The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST.
- Cylinder volume calculation
How tall is a cylinder whose shell has a volume equal to the base? What is the volume of this cylinder? - Trapezoid cross section
Calculate how many hectoliters of water can fit in a fifty-meter sloped pool; if the smallest depth is 1.2 m and the largest depth is 3 m, the width of the pool is 20 m. - Rectangle perimeter area
One side of the rectangle has length a=9/5 cm, and the length of side b is 7/10 cm greater than the length of side a. Calculate the perimeter and area of the rectangle. - Classroom painting cost
The classroom is 11 m long, 6.5 m wide, and 4 m high. I will pay 14.50 for 1 m² of painting. How much will it cost to paint the classroom? - Hexagon circle radius
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - A fruit
A fruit grower uses 1/3 of his land for bananas, 3/8 for pineapples, 1/6 for mangoes, and the remainder for oranges. What fraction of his land is used for oranges?
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