Trapezoid practice problems - page 12 of 15

Number of problems found: 294

Czech flag
Calculate the areas of the colored parts on Czech flag in the shape of a rectangle with dimensions of 2 m and 1 m. White and red form half the width, the blue triangle is isosceles, and its apex is half the length.
Isosceles trapezoid
In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm².
Wooden prism painting
The kit contains wooden prisms of various shapes. One is 4-sided with the base of a rectangular trapezoid (base measures 15 cm and 27 cm), arms 16 cm and 20 cm. The other was a 3-sided prism with base dimensions a=20 cm, b=18 cm, vb=30 cm. Both prisms had
Divide an isosceles triangle
How can an isosceles triangle be divided into two parts with equal areas perpendicular to the axis of symmetry (into a trapezoid and a triangle)?
Garden exchange
The garden has a rectangular trapezoid shape, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, which is 7/9 of the area of a trapezoidal garden. What is the size of the ne
Ditch excavation
How much soil needs to be removed when digging a 200 meter long ditch whose cross-section is an isosceles trapezoid with an area of 4812.5 cm²?
Trapezoid IV
In a trapezoid ABCD (AB||CD) is |AB| = 15 cm |CD| = 7 cm, |AC| = 12 cm, AC is perpendicular to BC. What area has a trapezoid ABCD?
Jewelry box
The jewelry box is in the shape of a four-sided prism with the base of an isosceles trapezoid with sides a=15 centimeters, b is equal to 9 centimeters, c is equal to 10 centimeters, c is equal to 7 whole 4 centimeters. How much fabric is needed to cover a
Pool
The prism-shaped pool is 2 m deep, with a bottom of the isosceles trapezoid, base dimensions of 10 m and 18 m, and arms legs 7 m long and 5.7 m long. During the spring cleaning, we must paint the bottom and walls of the pool. How many m² of paint should b
Right-angled trapezoid
A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is:
Square prism
Calculate the volume of a four-sided prism 2 dm high, and the base is a trapezoid with bases of 12 cm, 6 cm, a height of 4 cm, and 5 cm long arms.
Embankment
The railway embankment is 300 m long and has a cross-section of an isosceles trapezoid with bases of 14 m and 8 m. The trapezoidal arms are 5 m long. Calculate the amount of soil in the embankment in m³.
Coat of arms
The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo
Wooden 3
A wooden board 2.5 m long has a cross-section in the shape of a right-angled trapezoid whose parallel sides are 1.2 dm and 8 cm long. The height of the trapezoid is 3 cm. Calculate: a) the surface area of the board, to determine the amount of stain needed
Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area.
Calculate 7
Calculate the height of the trapezoid ABCD, where the coordinates of vertices are: A[2, 1], B[8, 5], C[5, 5] and D[2, 3]
Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment.
Trapezoid median
The midsegment of the trapezoid is p = 18.6 cm, and the base a = 29.8 cm. Calculate the size of the other base c.
Trapezoid - construction
Construct a trapezoid ABCD (AB // CD): | AB | = 7 cm | BC | = 3.5 cm | CD | = 4 cm The magnitude of the angle ABC = 60°
Trapezoid construction
Draw an isosceles trapezoid ABDC if a = 6 cm, v = 5 cm, beta = 60 degrees. / sketch, procedure, construction /

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