Area - practice for 14 year olds - page 53 of 54
Number of problems found: 1079
- R triangle
Calculate the right triangle area whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg. - 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, were n - Rectangle
In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle? - Pipeline
How much percent has changed (reduced) the pipe cross-section area if the circular shape changed to square with the same perimeter?
- Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in a triangle with sides 16 cm, 20 cm, and 15 cm. - Arc and segment
Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. The circle's radius is 11, and the corresponding angle is (2)/(12) π. - Sphere
The sphere's surface is 12100 cm², and the weight is 136 kg. What is its density? - Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm. - Pipes
The water pipe has a cross-section 1184 cm². An hour has passed 743 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 6 hours if water flows at the same speed?
- Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm. - Rectangles
How many rectangles with area 3152 cm² whose sides are natural numbers? - Sphere cuts
At what distance from the center intersects the sphere with radius R = 91 plane if the cut area and area of the main sphere circle are in ratio 3/6? - Heron backlaw
Calculate the missing side in a triangle with sides 25 and 13 and area 152. - Triangle
Calculate the triangle's heights ABC if the triangle's sides are a=82, b=44, and c=53.
- Diamond
Find the side of the diamond if its area is S = 490 cm² and one diagonal u2 = 39 cm. - Cap
A rotating cone shapes a jesters hat. Calculate how much paper is needed for the cap 54 cm high when the head circumference is 47 cm. - Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth - Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Magnification of the square
If we increase the square side, increase the area of the 70 %. About what percentage was increased on its side?
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