Planimetrics - math word problems - page 41 of 183
Number of problems found: 3651
- Quadrilateral 7583
For the sizes of the interior angles of the quadrilateral ABCD, the following applies: the angle alpha is 26° greater than the angle beta, twice the angle Beta is 5° less than the angle gamma, and the angle gamma is 36° greater than the angle delta. Deter
- The field
The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field circumference if one side of the field is 25 meters.
- Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r.
- Circumference 7065
In an isosceles triangle, the base length is equal to 75% of the arm's length. If the circumference is 22 cm, determine the area of the triangle.
- In a 2
In a thirteen-sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal, and the other four are 18° less than each of the equal angles. Find the angles.
- Wire fence
The wire fence around the garden is 160 m long. One side of the garden is three times longer than the other. How many meters do the individual sides of the garden measure?
- Midpoints
Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40mm has a midpoint of K, L, M. How many centimeters is the long perimeter of parallelogram KBLM?
- Rectangle - sides 3
If in the rectangle ABCD, we enlarge side a by 5 cm and decrease side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of side a by 4 cm, and at the same time we increase the length of side b by 3 cm, we increase the are
- Rectangle-shaped 80074
Pupils had to stack rectangle-shaped pictures with dimensions of 210mm and 84mm so as to cover the square. What is the smallest square we can cover like this, and how many images do we need?
- The rectangle
In the rectangle ABCD, the distance of its center from line AB is 3 cm greater than from line BC. The circumference of the rectangle is 52 cm. Calculate the area of the rectangle. Express the result in cm².
- Rectangular 8113
The playground has a rectangular shape. The length of the line around its perimeter is 440m. The longer side of the course is 140m long. How many meters does the size of the shorter side of the pitch measure?
- Parallelogram 6385
The parallelogram is given by: a, b is adjacent sides, va, vb - the respective heights to the individual sides. Calculate its side a, if b = 6cm, va = 3cm, vb = 4cm
- Circumference 5254
Calculate the shorter side and the diagonal of the rectangle if one side is 2 cm longer than the other and its circumference is equal to 70 centimeters.
- RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 269. Calculate the size of the sides of the triangle ABC.
- Difference 3994
In a trapezoid, the difference is a base of 6 cm. Calculate the lengths of the bottom of a trapezoid when its height is 8 cm and the area of the trapezoid is 168 cm square.
- Circle and square
An ABCD square with a side length of 100 mm is given. Calculate the circle’s radius that passes through vertices B, C, and the center of the side AD.
- Land
A rectangular, triangular piece of land has an area of 30 square meters and a 12 meter-long leg. How many meters of fence do you need to fence this piece of land?
- Four circles
1) Calculate the circle radius if its area is 400 cm square 2) Calculate the radius of the circle whose circumference is 400 cm. 3) Calculate circle circumference if its area is 400 cm square 4) Calculate the circle's area if the perimeter is 400 cm.
- Expression 19303
The area of the diamond is 112 cm square, and the length of its side is given by the expression x + 5 cm. Calculate this length if the height of the diamond is v = 7 cm.
- Circumference 7823
The bases are 9 cm and 5 cm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate its circumference and area.
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