# Area of shape - high school - 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: 267

• Pipeline How much percent has changed (reduced) area of pipe cross-section, if circular shape changed to square with same perimeter?
• Annular area The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area.
• Garden The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m2. Calculate the dimensions of the garden.
• Interesting property Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle?
• 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.
• Airplane Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies?
• 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.
• The farmer The farmer would like to first seed his small field. The required amount depends on the seed area. Field has a triangular shape. The farmer had fenced field, so he knows the lengths of the sides: 119, 111 and 90 meters. Find a suitable way to determine th
• Inscribed rectangle The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.
• Quatrefoil Calculate area of the quatrefoil which is inscribed in a square with side 6 cm.
• Pentagon Calculate the area of a regular pentagon, which diagonal is u=17.
• 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.
• Rectangle - area, perimeter The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
• 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.
• Equilateral triangle v2 Equilateral triangle has a perimeter 36 dm. What is its area?
• Squaring the Circle Calculating side of the square with the same area as the circle of radius 18.
• Hexagon There is regular hexagon ABCDEF. If area of the triangle ABC is 22, what is area of the hexagon ABCDEF? I do not know how to solve it simply....
• Rhombus The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides.
• Triangle Calculate the sides of the triangle if its area S = 630 and the second cathethus is shorter by 17.
• Triangle SSS Calculate perimeter and area of ​​a triangle ABC, if a=53, b=46 and c=40.

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