Percentages + planimetrics - practice problems - page 9 of 11
Number of problems found: 204
- Square
The square's side length decreases by 25%. Now it has an area of 28 cm² lower. Find the side of the original square. - Lawn and garden
The garden around the new house is divided as follows: 30% flowers, 35% orchards, and 150 m² form a lawn. What is the total area of the garden? - Area decrease
If the area of the square decreases by 19%, by how much percent does the side of the square decrease? - Road drop
On a straight stretch of road is marked a 12 percent drop. What angle makes the direction of the road with the horizontal plane?
- Calculate square 2556
Calculate the arm length b of the trapezoid ABCD if a = 12 cm, c = 4 cm, the length of AC is same as the length of BC and the area S of the triangle ABC is 9 cm square. - Kite
John a kite, which is diamond-shaped. Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper John needs to make a kite if he needs a paper on both sides and needs 5% of the paper for bending? - Rectangle
The width of the rectangle is 65% of its length. The perimeter of the rectangle is 132 cm. Determine the dimensions of the rectangle. - Forces
Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller. - Property
The length of the rectangle-shaped property is 8 meters, less than three times the width. If we increase the width by 5% of a length and length reduce by 14% of the width, it will increase the property perimeter by 13 meters. How much will the property co
- Diamond ABCD
In the diamond ABCD, the diagonal e = 24 cm, and the size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond. - Construct 1
Construct a triangle ABC, a = 7 cm, b = 9 cm with a right angle at C, and construct the axis of all three sides. Measure the length of side c (and write). - Railway
Between points A and B, whose horizontal distance is 1.5 km, the railway line has an 8 permille climb. Between points, B and C with a horizontal distance of 900 m are climbed 14 permille. Calculate differences in altitudes between points A and C. - Triangle SSA
Construct a triangle ABC if |AB| = 5cm va = 3cm, CAB = 50 °. It is to create the analysis and construction steps. - Measurements of a triangle
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 30 ft, c = 14 ft
- Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75% length of the second leg, and its area is 24 cm². - Percentage of waste
In a square plate with a side 75 cm, we cut four same circles. Calculate the percentage of waste. - Parcel
Both dimensions of the rectangular parcel were increased by 31%. By how much % has it increased its acreage? - Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle. - Climb in percentage
The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance between places A and B is 7.4 km.
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