# Area of shape - 8th grade (13y) - math problems

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: 438

• Mysterious area The trapezoid ABCD is given. Calculate its area if the area of the DBC triangle is 27 cm2.
• Ace The length of segment AB is 24 cm and the point M and N divided it into thirds. Calculate the circumference and area of this shape.
• Math heart Stylized heart shape created from a square with side 5 cm and two semicircles over his sides. Calculate the content area and its circumference.
• Square Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm2?
• Area to perimeter Calculate circle circumference if its area is 254.34cm2
• 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.
• 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?
• 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?
• Content area and percents Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
• 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?
• Inscribed rectangle The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.
• 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?
• Diagonal to area Calculate the area of a rectangle in which the length of the diagonal is 10 cm.
• Maximum area of rhombus Calculate the interior angles at which equilateral rhombus has a maximum area.
• Garden exchange The garden has the shape of a rectangular trapezoid, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, the area of which is 7/9 of the area of a trapezoidal garden. What is
• Iceberg What is the surface area of 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg?
• Circles Area of circle inscribed in a square is 14. What is the area of a circle circumscribed around a square? Calculate the radius of the quadrant, which area is equal to area of circle with radius r = 15 cm.
• Trapezium 2 Trapezium has an area of 24 square cms. How many different trapeziums can be formed ?
• Diameter The diameter of a circular plot is 14 dm. Find the circumference and area.

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