Area - math word problems - page 12 of 161

Number of problems found: 3206

Necessary paint
3 kg of paint is sufficient for 18 m² of area. How much paint is needed to paint the walls and bottom of a swimming pool with dimensions of 25 m × 15 m and a depth of 1.5 metres?
Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectolitres of water. How many square metres of sheet metal are needed to make it, if 2% extra is added for joints and waste?
A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 2.4 m × 0.8 m × 0.5 m. What will be the volume of a cube-shaped chest with the same surface area?
Express the unknown
Using the formula p = F ÷ S, express the unknown F.
Determine the area
Determine the area of trapezoid ABCD, given that AB = 6 cm, the area of triangle ABC = 15 cm², the area of triangle BCD = 20 cm², and AB ∥ CD.
Two cuboids
A cuboid has dimensions of 2 m × 3 m × 4 m. We increase the length of all edges by 50 cm. 1. By what percentage does the surface area of the cuboid increase compared to the original? Round the result to the nearest whole percent. 2. By what percentage doe
Cinema visitors
There are 35 seats in each row of an open-air cinema. Determine the maximum number of visitors that can fit in the viewing area, given that the total number of seats is more than 705 and fewer than 740.
RR trapezoid
Given an isosceles trapezoid ABCD with bases |AB| = 36 m and |CD| = 200 dm, and leg |BC| = 10 m. Calculate the area and perimeter of the trapezoid and the length of diagonal AC.
Ratio 52
The ratio of the surface area of a cube to its volume is 2:1. Calculate: a) the edge length of the cube in cm, b) the volume of the cube in cm³, c) the surface area of the cube in cm².
Irregular
Calculate the area and perimeter of a garden created from a rectangular plot measuring 10 m by 20 m after cutting off one corner measuring 6 m by 7 m. The removed rectangular section has sides parallel to those of the main plot. Did the perimeter of the r
Trapezoid 83
Trapezoid ABCD is composed of five triangles. Points E and G divide segment AB in the ratio 2:4:3 (in this order) into three segments. Point F is the midpoint of segment AD. Triangle AEF is isosceles and right-angled. Triangles GBC and CDG are right-angle
Asphalt
A tennis court can have a grass, asphalt, or clay surface. A singles court is 23.78 m long and 8.23 m wide. For doubles, a strip 1.37 m wide is added on both longer sides. By how many m² is a doubles tennis court larger than a singles court?
Railing 3
A railing in a museum is filled with 18 glass panels in the shape of parallelograms with a side length of 40 cm and a corresponding height of 65 cm. How many m² of glass were needed to produce these panels?
Given is
The circle is given by the equation x² + y² − 4x + 2y − 11 = 0. Calculate the area of the regular hexagon inscribed in this circle.
Grass seed
How many kilograms of grass seed are needed to establish a lawn on a rhombus-shaped plot of land with sides of 55 m and 40 m, if the height to the shorter side is 22 m and 1 kg of seed is sufficient for 40 m²?
Determine 23
Determine in cm² the area of rectangle ABCD, whose longer side is a = 20 cm and whose diagonal is 10 cm longer than its shorter side.
Cooperative 4
A cooperative farms fields with a total area of 1,350 hectares. They plan to sow barley on one fifth, rye on one ninth, and sugar beet on the rest. How many hectares will be sown with cereals in total?
Diagonal 2
What is the area in square metres of a rectangular garden whose diagonal is 50 m long and whose width is 27 m? Round the result to the nearest whole number.
Rhombus - ratio
In a rhombus, the ratio of a side to the height drawn to that side is 4:1, and its area is 49 cm². Calculate the length of the side and the height drawn to that side.
Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25 m and legs of 30 m. Calculate the maximum number of flowers that can be planted in this bed, assuming each flower requires approximately 8 dm² of space. Round the result to the nearest

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