Area - practice for 13 year olds - page 7 of 62
Number of problems found: 1239
- Reduced 81099
A square has a side length of 25 cm. How big is its area if the side is reduced by 25%? - Corresponds 81049
Cyril marked a square plot of land on a map with a scale of 1 ∶ 50,000 and calculated that its side corresponds to 1 km. He reduced the map on the copier so that the marked square had an area smaller by 1.44 cm² than on the original map. What was the scal - Calculate 81034
Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r=5cm and the radius of the circular base of the segment ρ=4cm. - The perimeter
The perimeter of the base of a regular quadrilateral pyramid is the same as its height. The pyramid has a volume of 288 dm³. Calculate its surface area round the result to the whole dm². - Equilateral 80851
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - Consumption 80836
The right trapezoidal plot has a basic length of 102m and 86m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing. - Dimensions 80782
Find the area of the stadium, which on a map with a scale of 1:16000, has dimensions of 2cm x 3cm. - Triangular 80766
Calculate the volume of a regular triangular prism whose height is equal to the length of the base edge. Calculate the volume for the edge length a = 6 cm. - Right-angled 80745
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST. - Cylinder 80733
How tall is a cylinder whose shell has a volume equal to the base? What is the volume of this cylinder? - Fifty-meter 80722
Calculate how many hectoliters of water can fit in a fifty-meter sloped pool; if the smallest depth is 1.2 m and the largest depth is 3 m, the width of the pool is 20 m. - Difference 80618
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - Square room 2
A square room has a floor area of 144 square feet. The height of the room is 6 feet. What is the area of one wall? - Equilateral 80573
The field has the shape of an equilateral triangle. Calculate its content if you know that the side is 280 meters long. - One-fifth 80438
By what percent does the area of a square increase if its perimeter increases by one-fifth? - Fertilized 80437
Nitric lime contains an average of 19% nitrogen and 55% calcium oxide. How many grams of nitrogen per 1 m² if we bought a 25 kg package and thereby evenly fertilized a garden of 12 a? - Rectangular 80436
The longer dimension of the rectangular plot was reduced by one-fifth, and the shorter dimension by 8%. By what percentage did the amount of land decrease? What is the perimeter of the fence now if the original dimensions of the fence were 60m and 25m? - A gravel
4 1/8 tons of gravel is spread evenly across 2 1/6 acres. How many tons of gravel are on each acre? - Tom sold
Tom sold 75% of his farm, and the number of acres sold was 150. How many acres were there on the farm before selling? - Percentage 80164
I was given a square ABCD 4.2 cm. Find the set of all points that have a distance less than or equal to 2 cm from one of its vertices and lie inside this square. Indicate how much of the square this area occupies as a percentage.
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