# Examples for 8th grade - page 54

- Field with vegetables

Field planted with vegetables has shape of a rectangular isosceles triangle with leg length of 24 m. At the vertices of the triangle are positioned rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated? - Tiles

How many square tiles with the content 121 cm^{2}has to be ordered for the paving of the square room with a side length of 2.75 meters? - Tetrahedral pyramid

Calculate the volume and surface area of a regular tetrahedral pyramid, its height is $b cm and the length of the edges of the base is 7 cm. - Three co-owners

The three co-owners of building company have earnings from a contract portioned in the ratio of 3:6:7. Each of them received the amount in whole USD. One of them on contract earned 86450 USD. What was the total earnings this order? - School year

At the end of the school year has awarded 20% of the 250 children who attend school. Awat got 18% boys and 23% of girls. Determine how many boys and how many girls attend school. - Legs

In the room are four-legged chairs, three-legged stool, and all are sitted with (one) people. I counted all the leg room and there were a total of 39. How many are there chairs, stool and people? - Internal angles

One internal angle of the triangle JAR is 25 degrees. The difference is the size of the two other is 15°. Identify the size of these angles. - Painting

Jožko with Fero painted the bench for four hours. How many hours would take work if four friends help him? - Painters

15 painters painted fence for 280 minutes. For how many minutes paint half of this fence 12 painters? - Uranium ore

Uranium ore contains 0.2% of pure uranium and pure uranium contains 0.07% of fissile uranium. How many grams of fissile uranium contains 2200 ton of uranium ore? - Triangle

Calculate the sides of the triangle if its area S = 630 and the second cathethus is shorter by 17. - ISO triangle

Calculate the area of an isosceles triangle KLM if the length of its sides are in the ratio k:l:m = 4:4:3 and has perimeter 128 mm. - Parcel

Both dimensions of the rectangular parcel were increased by 40%. By how many % has increased its acreage? - Quadrilateral

In the square ABCD point P is in the middle of the DC side and point Q in the middle pages AD. If the area of quadrilateral BQPC is 96 cm^{2,}what is the area of ABCD? - Sales off

Calculate what was the original price of the good, if the price after discount 40% and the subsequent rise of 30% is 4000 USD. - Diamond

Rhombus has side 23 cm and and one of diagonal 36 cm long. Calculate its area. - Trapezoid ABCD v2

Trapezoid ABCD has length of bases in ratio 3:2. The area of riangle ACD is 956 dm^{2.}What is the area of trapezoid ABCD? - TV commercials

For the typical one-hour prime-time television slot, the number of minutes of commercials is 7/23 of the minutes of the actual program. Determine how many minutes of the program are shown in that one hour. - Round table

Round table with diameter d = 95 cm is coated by square tablecloth with a side length 122 cm. About how many cm is higher center of tablecloth than its cornes? - Slope of the pool

Calculate slope (rise:run) of the bottom of swimming pool long 40 m. Water depth at beginning of pool is 1.15 m (for children) and depth at end is 1.92 m (for swimmers). Slope express as percentage and as angle in degrees.

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