Planimetrics - math word problems - page 128 of 184
Number of problems found: 3673
- Circumference 20323
A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle.
- Inner-circle 2902
The student should remove the inner circle with a radius of 3 cm from the circle with a radius of 7 cm. How much of the area of the large circle will be removed? Express result in percent.
- Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height to side AB is 4 cm. Point P is the base of the altitude to side AD. Calculate the area of the triangle ABP.
- The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²?
- Jewelry box
The bottom of Zeyda's jewelry box is a rectangle with a length of 5 3/8 inches and a width of 3 1/4 inches. What is the area at the bottom of the jewelry box?
- Square metal sheet
We cut out four squares with a 300 mm side from a square sheet metal plate with a side of 0.7 m. Express the fraction and the percentage of waste from the square metal sheet.
- Rhombus IV
Calculate the length of the diagonals of the rhombus, whose sizes are in the ratio of 1:2 and a rhombus side is 35 cm.
- EQ2 - symetric results
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2).
- Square sides
If the square side increases by 28%, the square circumference increases by 11.2 meters. Find the length of the original square side.
- Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm?
- Median
The median of the triangle NOP is away from vertex P 95 cm. Calculate the length of the median, which start at P.
- Cross section
The cross-section ABCD of a swimming pool is a trapezium. Its width is AB=14 meters, the depth at the shallow end is 1.5 meters, and at the deep end is 8 meters. Find the area of the cross-section.
- Socík
On the construction site of a new housing estate in Kladno-Kročehlavy, students from the state labor reserve carried out machine plastering of the masonry. 5 students plastered 10 square meters more masonry than 6 plasterers who plastered by hand. Togethe
- 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.
- Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the rectangles A and B dimensions.
- Rectangular 4206
The rectangular garden is 81 meters long and 36 meters wide. How long will the square garden's side be in the same area?
- Lighting-650W 82356
In the office will be connected: computer 800 W, kettle 2.5 kW, lighting 650 W, oven 1.9 kW; electric stove 3.3 kW; air conditioning 6100 W. As the smallest cross-section of the cables, we have to bring them to this room. Recalculate for Copper and Alumin
- Parallelogram
The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the sides' lengths.
- Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:8. What is the size of the larger of them?
- Arc
The length of the circle is 13, and the arc length of the circle is 5. What is the magnitude of the angle of this arc?
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