Examples of area of plane shapes - page 37 of 129
Number of problems found: 2563
- Squares above sides
In a right triangle, the areas of the squares above its sides are 169, 25, and 144. The length of its longer leg is: - Decorative fence
The rectangular garden is 57 m long and 42 m wide. Calculate how much m² it will reduce if it is enclosed with a 60 cm wide decorative fence. - KLMN trapezoid
The KLMN trapezoid has bases KL 40cm and MN 16cm. On the KL base is point P. The segment NP divides the trapezoid into units with the same area. What is the distance of point P from point K? - Square metal sheet
We cut out four squares with a 300 mm side from a square sheet metal plate with a side of 0.7 m. Express the fraction and the percentage of waste from the square metal sheet. - Diamonds puzzle
The puzzle is composed of paper diamonds. One diamond has a tent 3.4 cm long and a corresponding height of 2.5 cm. How much paper in dm squared is needed for 60 diamonds? - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm. - Land - isosceles trapezoid
Calculate the building plot's area and perimeter using an isosceles trapezoid with bases of 120m and 95 m and a height of 50m. - Diagonals of diamond Find the area and circumference of the diamond ABCD with 15m and 11m diagonals.
- The field
The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field circumference if one side of the field is 25 meters. - Garden
The garden is rectangular and has lengths of 25 and 40 meters. It has been expanded so that each size increased by one-fifth. How many square meters increased its acreage? - Sidewalk
The city park is a circular bed of flowers with a diameter of 8 meters. Around it, the whole length is 1-meter wide sidewalk. What is the sidewalk area? - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17. - Carpet
The room has a rectangular shape with dimensions 5 m × 2.1 m. How many meters of carpet does a width of 2 need to buy to cover the entire room? - Rectangular field
One dimension of the rectangular field is 168 m greater than the second dimension. If each side of the rectangle increases by 9 m increases, the surface field is 2187 m². Find dimensions of the field. - Rectangles
How many rectangles with area 8855 cm² whose sides are natural numbers? - Circle and angle
What is the length of the arc of a circle with radius r = 432 dm with central angle 0.53 rad? - Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer. - Perimeter 81600
The radius of the circular bed is 2 m. Around it is an area filled with sand, the border of which is formed by the sides of a square with a length of 5 m and the bed's perimeter. Calculate the volume of the area covered with sand. - Circumference 72984
Task 1 - The circumference of the square is 280 mm. What is its area? Task 2 - the perimeter of the rectangle is 44.6dm, and its width is 6.3dm. Calculate the area of this rectangle. - Represented 66634
On a map with a scale of 1:30,000, the plot is represented by a square with a side of 6 cm. What is the area really like? How many times is the actual plot larger than its image on the map?
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