Planimetry - math word problems - page 126 of 187
Number of problems found: 3735
- Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7:5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z. - Table - tablecloth
Mrs. Vránová has a square table with a side length of 110 cm. She wants to have a square tablecloth made for it so that each corner extends 25 cm beyond the edge of the table. What dimensions should the tablecloth have? - Garden flower calculation
In a square garden with a side length of 12 m, there are two circular flower beds with a diameter of 4 m, and the rest is grass. Determine the area that is overgrown with grass. What percentage of the garden is occupied by flower beds? - Cable car
Find the elevation difference of the cable car when it rises by 67 per mille, and the rope length is 930 m. - Midpoint triangle
Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of triangle DEF. In what ratio is the area of triangle ABC to the area of triangle DEF? - Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14 - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Calculate rhombus
Calculate the height of the rhombus ABCD on side BC if AB=7 cm, BC=5.5 cm, and the height of the first side on AB=4.4 cm. - Sides in ratio
The sides of the triangle are in a ratio of 2:6:5. Find the dimensions of the remaining sides if the longest side is 32 cm. - A perimeter
The perimeter of a parallelogram is 2.8 meters. The length of one of its sides is equal to one-seventh of the entire perimeter. Find the lengths of the sides of the parallelogram. - In a
In a triangle, the aspect ratio a: c is 3:2, and a: b is 5:4. The perimeter of the triangle is 74 cm. Calculate the lengths of the individual sides. - 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. - Harry
Harry Thomson bought a large land in the shape of a rectangle with a perimeter of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Find o - Rectangle square counting
A rectangle with dimensions of 11 x 13 pieces consists of 11*13 = 143 small identical squares. How many squares, made up of nine small squares, can be drawn in this rectangle (squares can overlap)? - Rectangle - parallelogram
A rectangle is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle. - Circle segment
A quarter circle with a radius of 4 has the same area as a circle segment with a radius of 3. What is the magnitude of the center angle of the circle segment? - Triangle line
In the triangle ABC, the line tb = | is given BB1 | Calculate the length of this line if B1 T | = 3 cm. - Rectangle area function
A rectangle with sides of lengths a, b (cm) has a circumference of 100 cm. The dependence of its area P (in cm2) on the number a can be expressed by the quadratic function P = sa + ta². Find the coefficients s, t. - Perpendicular parking
Which parking lot for 5 cars occupies a larger area, perpendicular or inclined at an angle of 45°, and how much? The car has dimensions of 4 m and 2 m. - Two gardens
The total area of the two gardens is 864 m². The first garden is 60 m² smaller than three times the second garden. What is the area of each garden?
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