Planimetrics - math word problems - page 41 of 185
Number of problems found: 3688
- Peter's rectangle
Peter had a rectangle 2 cm wide and of unknown length. The line had a 2 cm rectangle whose length was equal to the perimeter of Peter's rectangle. When they put the rectangles together with their widths, they got a new rectangle with a circumference of 63 - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 50 cm. What are the measurements of its height and base? - Rectangle field
The field has the shape of a rectangle, having a length of 119 m and a width of 19 m. How many meters have to be shortened in length and increased in width to maintain its area and circumference by 24 m? - Bricklayer
How much do we pay for a bricklayer laying pavement in a square room with a diagonal of 8 m if 1 sqm of work will cost CZK 420? - Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be? - 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? - Trapezoid bases
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. - Internal angles
Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A. - Matches
George poured out-of-the-box matches and composed their triangles, and no match was left. Then he tried squares, hexagons, and octagons, and no match was left. How many matches must be at least in the box? - 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 = 226. Calculate the size of the sides of the triangle ABC. - Coins
Edmund had saved a certain number of 0.5-euro coins. He placed the coins in a single layer in a square. He had 4 coins left. When he wanted to build a square with one more row, he was missing 23 coins. How many euros does he have? - Trapezoid perimeter base
An isosceles trapezoid has one base twice as short as the other. Its area is 42 cm², and its height is 4 cm. Calculate its circumference if you know that the arm is 5.3 cm long. - Triangle perimeter area
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - Fountain sidewalk area
A 2m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy? - Circular segment
Calculate the radius and area of the circular segment if the center angle = 106° and the length of the corresponding circular arc is l = 52 cm. - Michael 2
Michael has a 35-foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house? - Trapezoid complete
Calculate side b and the height of the trapezoid if a = 5.1cm; c = 6.8cm; d = 4.7cm; circumference is 21cm, and the area is 17.85 cm². - Parallelogram Side Heights
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 - Rectangle measurements
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. - 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.
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