Examples of area of plane shapes - page 32 of 129
Number of problems found: 2562
- Right triangle
Right triangle ABC with side a = 10 and the area S = 50. Calculate the length of the remaining sides.
- Map
Forest has an area of 77 ha. How much area is occupied by forest on the map at scale 1:10000?
- Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible.
- Jewel
Rhombus-shaped jewel has an area of 109 mm², and the edge is long 13 mm. Calculate the size of the acute rhombus angle.
- Triangle SAA
The triangle has one side long 23 m, and its two internal angles are 60°. Calculate the perimeter and area of the triangle.
- Rectangle 82456
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle.
- Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence.
- Rectangle's 81596
The rectangle has a perimeter of 30 cm. The ratio of its sides a: b=2:3. Calculate the sides' lengths and the rectangle's area.
- Trapezoid 78904
Calculate the middle crossbar of a trapezoid whose area is 111.8 cm² and height 6.5 cm.
- Needed 69374
How many square tiles with an edge of 10 cm are needed to line a wall 2.4 m long to a height of 1.6 m?
- Perpendiculars 66274
The perpendiculars of a right triangle have 30 cm and 40 cm lengths. What is the height of the triangle?
- Sprinkler 36153
The rotary sprinkler has a spray of 18m. How much land can it irrigate from one place?
- Right trapezoid
Calculate the area of a rectangular trapezoid whose perpendicular arm is 27 mm long and the bases are 33 mm and 19 mm long.
- Circumference 21603
The circumference of the diamond is 29.6dm. a - calculate the length of its side b - calculate the area of the diamond if its height measures 5 dm
- Dimensions 20513
The sides of the rectangle are 6.6 cm and 4.2 cm. We change its dimensions in a ratio of 5:2. How many times does the rectangle's area change compared to the original rectangle?
- Circumference 19603
The rhombus has the dimensions a = 9.1 cm; b = 8 cm; height to side a: va = 7.3 cm. Calculate the circumference, area, and size of the second height.
- Isosceles 19393
How many dm² of the area is an isosceles triangle if the angle at the base is 45˚ and the bottom is 10 cm long?
- Area of a circle
The circumference of the circle is 150.72 centimeters. Calculate the area of the circle.
- Corresponding 5386
A football field for an interstate match must be between 100 m and 110 m long and between 64 m and 75 m wide. Calculate the area of the smallest and largest fields corresponding to the conditions.
- Squares
Calculate the area of the square and result round to square decimeters. a) a = 1,52 dm b) a = 13 268mm c) a = 562 cm d) a = 1,52 m
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