# Area of shape + expression of a variable from the formula - 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: 226

• Shape Plane shape has a maximum area 677 mm2. Calculate its perimeter if perimeter is the smallest possible.
• Perimeter to area Calculate the area of a circle with the perimeter 15 meters.
• Area to perimeter Calculate circle circumference if its area is 254.34cm2
• Perimeter from area What is the perimeter of the square if its content is 64 cm2?
• The funnel The funnel has the shape of an equilateral cone. Calculate the content of the area wetted with water if you pour 3 liters of water into the funnel.
• Diagonal to area Calculate the area of a rectangle in which the length of the diagonal is 10 cm.
• A rectangle A rectangle has an area of 36 cm2. What could the length and width of rectangle be? Find the radius of the circle with area S = 200 cm².
• Equilateral triangle Calculate the area of an equilateral triangle with circumference 72cm.
• Equilateral triangle The equilateral triangle has a 23 cm long side. Calculate its content area. Determine the radius of the circle, if its perimeter and area is the same number.
• 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?
• Airplane Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies?
• Inscribed circle The circle inscribed in a triangle has a radius 3 cm. Express the area of the triangle using a, b, c.
• Rhombus diagonal Area of rhombus is 224. One diagonal measures 33, find length of other diagonal.
• Decagon Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m
• Circle How big is area of circle if its circumference is 80.6 cm?
• Isosceles Isosceles trapezium ABCD ABC = 12 angle ABC = 40 ° b=6. Calculate the circumference and area.
• Diagonals of diamond Find the area and circumference of the diamond ABCD with 15m and 11m diagonals.
• Area and perimeter of rectangle The content area of the rectangle is 3000 cm2, one dimension is 10 cm larger than the other. Determine the perimeter of the rectangle.

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