Planimetrics - math word problems - page 96 of 183
Number of problems found: 3651
- Area of a circle
The circumference of the circle is 150.72 centimeters. Calculate the area of the circle.
- Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n.
- Rectangles 22781
A bricklayer has 48 tiles. How many different rectangles will he assemble?
- Calculate 7329
Calculate the length of the side of a square in cm, the area of which is 48 cm square.
- Rhombus
The rhombus with area 95 has one diagonal that is longer by 7 than the second one. Calculate the length of the diagonals and rhombus sides.
- Height
Calculate the height of the equilateral triangle if its perimeter is 31.
- Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence and the smallest angle is 70°.
- Series
Your task is to express the sum of the following arithmetic series for n = 24: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11
- Dimensions 22991
What are the dimensions of a square with an area of 49dm square?
- Trapezoid and diagonals
Find the area of a trapezoid with bases a = 24 cm, c = 16 cm, and diagonals u = 22 cm, v = 26 cm.
- Isosceles trapezoid
The old father decided to change the top plate of an isosceles-like trapezoid, which has basic dimensions of 120 cm and 60 cm, and a shoulder that is 50 centimeters long. How much does it pay for a new plate and a square meter worth 17 euros?
- Circumference 82552
The isosceles trapezoid has a base length of 12 cm, a height of 4.5 cm, and a height of 5 cm. What is its circumference?
- Quadrilateral 81544
In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles.
- Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides.
- The sum 18
The sum of the three angles in a triangle is 180°. Find the 3rd angle of a triangle if the 1st and 2nd angles measure 58.3° and 45.5°.
- Dimensions 23001
What dimensions can rectangles with an area of 24 cm square have?
- Perimeter 17063
The area of the floor plan is 5400m². What will be the perimeter of the square floor plan?
- Square Number
If to a square of integer number add 43, we get the square of the following integer number. What is the original number?
- Six-sided polygon
There is a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle.
- Perimeter from area
What is the perimeter of the square if its area is 64 cm²?
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