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: 702

Area of RT
Calculate the area of a right triangle that hypotenuse has length 14, and one hypotenuse segment has length 5.
Rhomboid
Calculate the circumference and area of the rhomboid with sides 20 and 14, with their angle 50°.
Radius
Determine the radius of the circle, if its perimeter and area is the same number.
Described
Calculate perimeter of the circle described by a triangle with sides 478, 255, 352.
Square
Points A[-9,7] and B[-4,-5] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
Right isosceles
Calculate area of the isosceles right triangle which perimeter is 41 cm.
Right triangle
Right triangle ABC with side a = 19 and the area S = 95. Calculate the length of the remaining sides.
Circles
The areas of the two circles are in the ratio 2:20. The larger circle has diameter 20. Calculate the radius of the smaller circle.
Pentagon
Calculate the area of regular pentagon, which diagonal is u=17.
Tinsmith
Tinsmith construct chimney pipe 145 cm long and 15 cm wide. What are the dimensions of the sheet will have to prepare for the construction of a pipe when the plate overlap at the joint add $x cm width of the plate?
Rail turn
The curve radius on the railway line is 532 m . Length of rail track on it is 818 m. How many degrees is the angle ASB, if A and B are boundary points and S is center of arc curve.
Wiring
Conduit has a cross section 48² mm. Maybe put it into 6 conductors with a cross section S2 $mm²?
Triangle
Calculate the area of right triangle ΔABC, if one leg is long 14 and its opposite angle is 59°.
Wheat
The rectangle shaped field with dimensions 1268 m and 745 m harvested last year was 4959 q wheat. (1 q = 1 quintal = 100 kg). During the year, it was necessary to fix the pipe and therefore did kick wide 4 m parallel to the side of the field 745 m, where
Expansion
If one side of the rectangle is larger 4-times and second 2-times, what percentage increases the area of rectangle?
Floor
The floor area of the room is 31 m² and has a width of 4.3 m. How many centimeters of circumference measured floor on the map at the scale 1:75?
Garden
The garden has two opposite parallel fences. Their distance is 33.1 m. Lengths in these two fences are 75.5 meters and 49.4 meters. Calculate the area of this garden.
Rectangle
In rectangle with sides, 6 and 3 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
Wire
One pull of wire is reduced its diameter by 14%. What will be diameter of wire with diameter 19 mm over 10 pulls?
Cable
Cable consists of 8 strands, each strand consists of 12 wires with diameter d = 0.5 mm. Calculate the cross-section of the cable.

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