Planimetrics - math word problems - page 112 of 184
Number of problems found: 3667
- Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y.
- Determine 26191
The rectangle has side lengths of a = 40 cm and b = 10 cm. We reduce side a's length by 30% and side b by 10%. Determine how much less the area of the rectangle has decreased in percentages.
- Calculate 3167
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 12 cm. Calculate the radius of the smaller circle.
- Masons
One mason casts 30.8 meters square in 8 hours. How long casts four masons 178 meters square?
- Road - permille
A 5 km long road begins at an altitude 500 meters above sea level and ends at an altitude of 521 ASL. How many permille road rises?
- Parametric equations
Write the parametric equations of height hc in triangle ABC: A = [5; 6], B = [- 2; 4], C = [6; -1]
- Internal angles
The ABCD is an isosceles trapezoid, which holds: |AB| = 2 |BC| = 2 |CD| = 2 |DA|: On the BC side is a K point such that |BK| = 2 |KC|, on its side CD is the point L such that |CL| = 2 |LD|, and on its side DA, the point M is such that | DM | = 2 |MA|. Det
- Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page?
- Rectangular field
A rectangular field has a diagonal length of 169m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area.
- Square side
If we enlarge the square side a = 5m, its area will increase by 10,25%. How much percent will the side of the square increase? How many percent will it increase the circumference of the square?
- Diameters: 23901
When paying, we use euro coins with the following diameters: The 10-cent coin has a diameter of 19.75 mm. The 20-cent coin has a diameter of 22.25 mm. The 50-cent coin has a diameter of 24.25 mm. Find out in what ratio the diameters of these coins are.
- The diamond
The diamond has an area S = 120 cm2, and the ratio of the length of its diagonals is e: f = 5:12. Find the lengths of the side and the height of this diamond.
- Dimensions 9371
Change both dimensions of the rectangle in a ratio of 5:3. Initially, the dimensions are 9cm and 15cm. What are the dimensions of the rectangle after the change?
- Square 8198
In 2 hours, 100m square, what is an area in 3 hours?
- Minutes 6071
What is the angle of the big hand of the watch in 20 minutes?
- Given is
Given is the circle x²+y²-4x+2y-11=0. Calculate the area of the regular hexagon inscribed in the given circle.
- On the circular 3
On the circular cap of a salt shaker with a diameter of 4.5 cm there are two types of holes. On the left is a semicircular hole with a diameter of 2.4 cm, on the right are five small circular holes with a diameter of 3 millimeters. Determine the ratio of
- Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas
- Enlarged rectangle
The rectangle has dimensions of 8 cm and 12 cm. We enlarge it in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle?
- Right triangles
How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget the triangle inequality).
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