Area - math word problems - page 18 of 158

Number of problems found: 3159

Square colored percentage
The square in the picture has a side length of 6 cm. What percentage of the area is the colored part?
School plot modification
When modifying the school plot in the shape of a rectangle, the deviation was calculated if we increased the length and width of the plot by 1m and its area by 22 m². If we reduce the length of the plot by 2m and increase its width by 1m, its area will de
Line segments
Triangle ABC is divided by line segments. Lines DE and AB are parallel. Two lines are drawn from vertex C. The first line intersects points H and F on segments DE and AB. The second line intersects points I and G on segments DE and AB. Triangles CDH, CHI,
Paper box volume
The paper box is cube-shaped. 2400 cm² was used for its production. Bends for gluing the walls are omitted. What is the volume of the box?
Sugar minicubes
1 kg of cubed sugar consists of 840 cubes with an edge of 1.1 cm. Determine the sugar's density and the box's dimensions if the cubes are lined up in seven rows of nine cubes each. How many square meters of cardboard are needed to make 3000 boxes?
Garden path decrease
A new path is to lead through Mr. Milan's garden – diagonally. By what percentage of the area of the park will it decrease? The length is 23.8 m, the width is 16.7 m, and the road width is 6 m.
Square tile paving
We have to pave the smallest possible square with rectangular tiles with 168 cm and 280 cm sides. What will its side of the square be?
Coordinates - ellipse
Write the equation of the ellipse that passes through the points, and its axes are identical to the coordinate axes when A = [2, 3] and B = [−1, −4].
Prism volume surface
Calculate the volume and surface area of a 9.6 cm high prism with a base of an equilateral triangle of length 4.8 cm.
Calculate cuboid, diagonals
The volume of a cuboid with a square base is 64 cm³, and the body diagonal deviation from the base's plane is 45 degrees. Calculate its surface area.
Seamstress fabric meters
The seamstress has to sew 12 sheets and 12 pillows. How many meters of fabric does he need if he uses 4m of fabric for one cover and 2m for a pillow?
Two 2
Two different harvesters harvested potatoes with an area of 6.6 ha in one shift when they were operating simultaneously. The area of land from which the less powerful harvester was able to harvest potatoes in six shifts, the more powerful harvester in
Cylinder shell volume
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid.
Wheat harvest hectare
Farmers harvested 1110q of grain from 37 hectares of wheat. a) how many q of wheat did they harvest from 12 hectares? b) how many grains were harvested from 1 m². C) how big is the side of the square of the field from which they harvested 1q of wheat?
Nozzle water speed
A water spray nozzle with a cross-section of 1.5 cm² sprays water at a speed of 24 m/s. What is the speed of the current in the supply pipe whose cross-section has a volume of 18 cm²?
Table paper coverage
The table has the shape of a rectangle with dimensions of 80 × 100 cm. Ten identical sheets of paper measuring 20 x 30 cm lie next to each other on it. Papers do not overlap or extend beyond the surface of the table. What part of the table surface is cove
Cube triangle volume
In the cube ABCDEFGH, the area of triangle ABK is √20 cm². How much cm² is the volume of ABGH in a cube if you know that K is the midpoint of edge CG?
Triangle area side
Calculate the area of an isosceles triangle ABC with a base of 10 cm and a side of 7 cm. Sketch a picture.
Trapezoid perimeter base
An isosceles trapezoid has one base twice as short as the other. Its area is 42 cm², and its height is 4 cm. Calculate its circumference if you know that the arm is 5.3 cm long.
Triangle height line
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk.

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