Area of a shape + unit conversion - practice problems - page 6 of 30
Number of problems found: 589
- Hypotenuse and center
Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the area of triangle ABC if the line on the hypotenuse is 0.2 dm long and if angle ∢ACS is 30°.
- Flower bed
The park has a rectangular flower bed with dimensions of 3.2m and 1.5m. How many rose bushes will we plant in the flower bed if 20 dm² are needed for one bush?
- Garden
The rectangular garden is 72 m long and 25 m wide. Calculate by how much m² its area will be reduced if it is surrounded by an ornamental fence 50 cm wide.
- Square-shaped 73564
The map shows a square-shaped field with a side length of 0.7 cm. Its area is 49 ha. Find the scale of the map.
- Interested 18803
On the map, at a scale of 1:400 m and an area of 100 cm². How much are you interested in this land?
- Rectangle 12081
On a plan with a scale of 1:8000, the ski slope has 12 cm and 0.5 cm lengths. What is the actual piste area in ares?
- Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places.
- Calculate 6219
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area.
- Harvested 5984
A private farmer assumed a beet yield per hectare of x tons. He harvested an average of y tons more per hectare. How many tons of beets are harvested from 0.25 km²?
- Tiler
On what surface must the m² tiler lay 30 square tiles, each of which has a side 25 cm?
- The farmer field
The field has a parallelogram shape with dimensions side a = 67 m and height 387 m. Two and two sides are at an angle 67°. Calculate the acreage of the field in hectares.
- Windows
Calculate the masonry area to build a wall with dimensions of 18 m × 5 m with 3 windows of size 51 cm × 51 cm.
- Circumscribed circle
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle.
- Map scale
The garden's plan shows a scale of 1:150, a width of 22 cm, and a length of 35 cm. What is its real area?
- Glass
Peter broke the window glass with sizes 110 cm and 90 cm. One square meter of glass costs 15 Euro. How much money is needed to buy new glass?
- Triangle 18923
The sticker is shaped like a triangle with a side 5.4 cm long and 3 cm high. Most of such stickers can be made of 1 m square paper. Thank you
- Corresponding 5646
The parquet floors in the room have the shape of a rhombus with a side of 2.3 dm long and a corresponding height of 0.9 dm long. How many square meters does the room have if its floor comprises 580 parquets?
- Hectares 5323
At a speed of 4 km/h, we go around the lake, which has the shape of a circle, in 36 minutes. What is the area of the lake? Please result express in hectares.
- Land
The land has a rectangular shape, and its surface area is 1.45 hectares. Its width is 250 m. Determine the length of the land.
- Garden rent
The town of Bellmere has purchased a square plot of land that is 0.2 km by 0.2 km to make a community garden. If the garden is divided into plots that average 50 ㎡, how many plots will be available to rent?
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