Area - math word problems - page 12 of 158
Number of problems found: 3148
- Ratio 52
The ratio of the surface area of a cube to its volume is 2:1.Calculate: a) the length of the edge of the cube in cm b) the volume of the cube in cm³ c) the volume of the cube in cm2 - Irregular
Calculate the area and perimeter of the garden that was created from a rectangular plot measuring 10 by 20 meters after transferring one corner measuring 6 by 7 meters. The separated rectangular plot has parallel sides to the main plot. Did the perimeter - 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-angl - Asphalt
A tennis court can have a grass, asphalt, or clay surface. Singles are played on a court 23.78 m long and 8.23 m wide. For doubles, a strip 1.37 m wide is added on both longer sides. How many m² is a tennis court for doubles larger than for singles? - Railing 3
A railing in a museum is filled with 18 glass plates in the shape of a parallelogram with a side length of 40cm and a corresponding height of 65cm. How many m² of glass were needed to produce these fillings? - Given is
Given is the circle x²+y²-4x+2y-11=0. Calculate the area of the regular hexagon inscribed in the given circle. - Grass seed
How many kilograms of grass seed are needed to establish a lawn on a rhombus-shaped plot of land with sides 55m and 40m, if the height of the shorter side is 22m and 1kg of seed is enough for 40m square? - Determine 23
Determine in cm² the area of the rectangle ABCD, whose longer side a=20cm and whose diagonal is 10cm longer than its shorter side. - Cooperative 4
The cooperative farms fields with an area of 1350 hectares. They are to sow barley on one fifth, rye on one ninth, and sugar beet on the rest. How many hectares will be sown with cereals? - Diagonal 2
What is the area in square meters of a rectangular garden whose diagonal is 50m long and the width of the garden is 27m? Round the result to the nearest whole number. - Rhombus - ratio In a rhombus, the ratio of the side to the height to this side is 4 : 1, if its area is 49 cm². Calculate the size of the side and the height to this side.
- Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25m and sides of 30m. Calculate the maximum number of flowers that can be planted in this bed, assuming that one flower requires about 8 dm² of square area. Round the result to the nearest - Lampshade 3
The lampshade has the shape of a rotating cone shell with a side of 32 cm and a base diameter of 46 cm. Calculate the paper consumption for its production if you assume that the waste will be 6% - Arbor
Calculate in square meters the area of an arbor whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m. - Vegetables - plot
The Happy family has vegetables planted in a garden measuring 8m x 3m. Peppers occupy 1/12 of the garden, tomatoes occupy 1/8 of the garden, and strawberries occupy 1/6 of the garden. They decided to plant sweet potatoes in the remaining area of the gar - Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and the area of its surface is twice the area of its base. Determine the size of its body diagonal. - In a right triangle 13
The height of the hypotenuse is 4.8cm. The hypotenuses are in the ratio 4:3. Calculate the perimeter and area of a triangle. - Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between the adjacent vertices of the flower bed. - Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it. Bends for gluing the walls are not included. Calculate the volume of the box. - Two-kilogram bread
Farmers harvested 3000 kg of rye from one hectare, from which they obtained 2500 kg of flour. 3 kg of flour will make 4 kg of bread. Calculate how many m² of land were used to grow rye, which is needed for 1 two-kilogram loaf of bread.
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