Area - math word problems - page 95 of 161

Number of problems found: 3206

Lake or pond
A landlord has a square pond. Trees grow around it. He wants to double the area of the pond without cutting down or flooding any trees. How will he do that?
Rectangular plot
The dimensions of a rectangular plot are (x + 1) m and (2x − y) m. The sum of x and y is 3 m and the perimeter of the plot is 36 m. Find the area of the plot and the length of its diagonal.
Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle?
Rectangular field
A rectangular field has a diagonal length of 169 m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area.
Cuboid Dimensions Ratio Surface
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8 m. Find: a) the surface of
Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m.
Cylinder height calculation
What is the height of the cylinder if the volume is 8,478 cubic meters and the area of the base of the cylinder is 706.5 cm square?
Three segments
The circle is divided into three segments. Segment A occupies 1/4 of the area. Segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C?
Proportion of the continents
The area of Asia and Africa is 8:7, and the area of Europe and Africa is 5:6. In what proportion are the sizes of regions of Asia, Africa, and Europe?
Area to perimeter
Calculate the circle circumference if its area is 254.34 cm²
Regular triangular pyramid
Calculate the volume and surface area of the regular triangular pyramid. The height of the pyramid is 12 centimeters. The bottom edge is 4 centimeters, and the height of the sidewall is 12 centimeters.
Quadrangular pyramid
The regular quadrilateral pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area.
Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane.
Hectoliters of water - Garden
Garden tank dimensions: length. ..4,6 meters, width. ..3,8 meters, depth. ..1.6 meters. How many hectoliters of water is in the tank when it is filled to 2/3?
Isosceles Triangle Interior Angles
The area of the isosceles triangle is 8 cm², and its arm's length is 4 cm. Calculate the sizes of its interior angles.
Triangle height calculation
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height?
Block Edges from Volume
The block volume is 900 cm³, and the surface is 600 cm². The area of one wall is 60 cm². Calculate the length of edges a, b, and c.
Aquarium Water Level Area
There are 140 liters of water in a rectangular aquarium with 800 mm and 50 cm base dimensions. How high in cm does the water level reach? What is the area in dm² of the inner walls of this aquarium up to the water level?
Screens
The area of a 25-inch TV screen is 300 in² and the area of a 40-inch TV screen is 768 in². What percentage of the larger screen's area is the smaller screen's area?
Diamond - simple
Calculate the circumference and area of the diamond if the side is 5 cm long and the height is 3 cm long.

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