Diagonal - math word problems - page 13 of 28

Number of problems found: 543

Again saw
We have a sculpture beam from the tree trunk with a rectangular cross-section with dimensions 91 mm and 87 mm. What is the trunk's smallest diameter?
Rectangular plot
The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the plot's perimeter is 36m. Find the area of the diagonal of the plot.
Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
Square 2
Points D[10,-8] and B[1,-10] are opposed vertices of the square ABCD. Calculate the area of the square ABCD.
Cross-section 42981
Is it possible to cut a beam with a square cross-section with a side length of 30 cm from a log with a diameter of 42 cm? Write the answer as follows: yes, because. ... no, because...
Right trapezoid
The right trapezoid has bases 3.2 cm and 62 mm long. The shorter leg has a length of 0.25 dm. Calculate the lengths of the diagonals and the second leg.
Sidewalk 26121
The garden has a square shape, and its area is 8,100 m². It will be divided by a sidewalk connecting the two opposite garden peaks. How long will this trail be?
Diagonals 5113
The diagonals in diamond KLMN are 10 cm and 6 cm long. Determine the angle size that the longer diagonal makes with the side of the diamond.
MO Z8–I–6 2018
The KLMN trapezium, KL has a 40 cm base and an MN of 16 cm. Point P lies on the KL line so that the NP segment divides the trapezoid into two parts with the same area. Find the length of the KP line.
Tiles
How much will you pay CZK for laying tiles in a square room with a diagonal of 8 m if 1 m² cost CZK 420?
Diamond ABCD
In the diamond ABCD, the diagonal e = 24 cm, and the size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond.
A rhombus 4
A rhombus has a side length of 10 cm. Find the angles at each corner of the rhombus if the shorter of the two diagonals measures 7 cm. Give your answers to the nearest degree and give clear geometric reasoning at each stage of your solution.
Rectangular garden
The sides of the rectangular garden are in a ratio of 1:2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden.
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?
Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle.
Dig water well
Mr. Zeman is digging a well. Its diameter is 120 cm, and it plans to be 3.5 meters deep. How long (at least) must be a ladder, after which Mr. Zeman would have eventually come out?
Rhombus and diagonals
The rhombus area is 150 cm², and the ratio of the diagonals is 3:4. Calculate the length of its height.
Rectangle diagonals
Calculate for me the length of the diagonal of a rectangle whose size is 7 cm greater than its width and whose perimeter is 34 centimeters. The dimensions of the rectangle are expressed in natural numbers.
Diagonals in the diamond
The length of one diagonal in a diamond is 24 cm greater than the length of the second diagonal, and the diamond area is 50 m². Determine the sizes of the diagonals.
Diagonal BD
Find the length of the diagonal BD in a rectangular trapezoid ABCD with a right angle at vertex A when/AD / = 8,1 cm and the angle DBA is 42°

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