Planimetrics - math word problems - page 119 of 183
Number of problems found: 3648
- Table - tablecloth
Mrs. Vránová has a square table with a side length of 110 centimeters. She wants to have a square tablecloth sewn on it so that its corners extend beyond the edges of the table by 25 centimeters. What dimensions should the tablecloth have?
- 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 4m and 2m.
- Squares
Cut out the square with the integer side from the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square?
- Interior angles
Calculate the interior angles of a triangle that are in the ratio 2:3:4.
- Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas.
- Dimensions 26713
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)?
- Electrified 6472
The electrified carpet was rectangular, 16 square meters in area, and no two points on it were more than 7 meters apart. What different circuits can carpets that meet these conditions have?
- Revolutions - wheels
The tractor's rear wheel has a diameter of 1.6 m, and the front wheel is 96 cm. What ratio are the numbers of their revolutions? How many times does the front wheel turn, and how many times does the rear wheel turn on a track 1942 m long?
- Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the rectangles A and B dimensions.
- ISO Triangle V2
The perimeter of the isosceles triangle is 474 m, and the base is 48 m longer than the arms. Calculate the area of this triangle.
- Saw
Imagine that the saw blade with a diameter 40 cm has one tooth colored with a different color. How long does the tooth's tip describe the path after 15 minutes if the blade is rotated 13365 times?
- Equation of a circle
Write the general equation of a circle with center S(2;5) and point B(5;6) lying on this circle.
- Height
Is it true that the height is less or equal to half of the hypotenuse in any right triangle?
- Folding table
The folding kitchen table is rectangular with an area of 168dm² (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hundredths.
- Table
The circumference of the rectangle table is 420 cm. Length to width ratio is 5:2 . Calculate table dimensions and dimensions reduced in the ratio of 3:5
- Median
The median of the triangle NOP is away from vertex P 95 cm. Calculate the length of the median, which start at P.
- Triangle angles
The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate the size of angles.
- Centimeters 4170
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the area of triangle ABC in square centimeters?
- Reverse Pythagorean theorem
Given are the lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 66 dm, 60 dm, 23 dm ... Δ DEF: 20 mm, 15 mm, 25 mm ... Δ GHI: 16 cm, 20 cm, 12 cm ... Δ JKL: 58 cm, 63 cm, 23 cm ... Δ MNO: 115 mm,
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