Examples of area of plane shapes

Area is the quantity that expresses the extent of a two-dimensional shape. The area can be understood as the amount of paint necessary to cover the surface with a single coat. The area of a shape can be measured by comparing the shape to squares of a fixed size 1 m^2 or 1 cm^2 etc. Every unit of length has a corresponding unit of area. Areas can be measured in square metres (m^2), square centimetres (cm^2), square millimetres (mm^2), square kilometres (km^2), square feet (ft^2), square yards (yd^2), square miles (mi^2), and so forth.

Number of problems found: 802

The garden
The garden has the shape of an isosceles trapezoid whose bases are 64 m and 24 m long, the height is 25 m. On what area of the garden is it possible to grow vegetables if a fifth of the area is occupied by a cottage, lawn and path?
Area of a circle
The circumference of the circle is 150.72 centimeters. Calculate the area of the circle.
The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area.
Area to perimeter
Calculate circle circumference if its area is 254.34cm²
Garden fence
The garden has the shape of a rectangular triangle with an area of 96 square meters and a 16 m long one leg. How many meters of the fence need to be fenced?
Octagon from rectangle
From tablecloth rectangular shape with dimensions of 4 dm and 8 dm we cuts down the corners in the shape of isosceles triangles. It thus formed an octagon with area 26 dm². How many dm² we cuts down?
Screens
The area of a 25 inch TV screen is 300 inch² the area of a 40 inch TV screen is 768 inch². The area of the smaller screen is what percent of the area of the larger screen?
Concrete pedestal
The carpenters made wooden mold on a concrete pedestal in the shape of a cube with an edge 2 meters long. What is the area in which the concrete touches wooden molds? (No lid or bottom)
Parcel
parcel has a rectangular shape of a trapezoid with bases 12 m and 10 m and a height 8 m. On parcel was built object with a footprint an isosceles triangle shape with side 4 m and height three-quarters of a meter. What is the area of unbuild parcel?
In the
In the national park, the ratio of the wooded area to grassland is 4: 1. The total area is 385km². What area is wooded?
Two rectangles 2
A square of area 36 cm² is cut out to make two rectangles. A and B The area of area A to area B is 2 : 1 Find the dimensions of rectangles A and B.
Content area and percents
Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
Inscribed rectangle
The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.
Diagonal to area
Calculate the area of a rectangle in which the length of the diagonal is 10 cm.
Area of ditch
How great content area will have a section of trapezoidal ditch with a width of 1.6 meters above and below 0.57 meters? The depth of the ditch is 2.08 meters.
Area of rectangle
How many times will increase the area of the rectangle if we increase twice the length and at the same time we decrease the width by half?
The roof
The roof has the shape of a spherical canopy with a base diameter of 8 m and a height of 2 m, calculate the area of the foil with which the roof is covered, when we calculate 13% for waste and residues.
Calculate
Calculate the square area if its perimeter is 14dm.
Folding table
The folding kitchen table has a rectangular shape with an area of 168dm² (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hu
Maximum area of rhombus
Calculate the interior angles at which equilateral rhombus has a maximum area.

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.