Trapezoid - RR

Find the area of the right angled trapezoid ABCD with the right angle at the A vertex;

a = 3 dm b = 5 dm c = 6 dm d = 4 dm

Correct answer:

S =  18 dm²

Step-by-step explanation:

$$\begin{gathered} a=3\text{ dm } \\ b=5\text{ dm } \\ c=6\text{ dm } \\ d=4\text{ dm } \\ S=(a+c)\mathrm{/}2\cdot d=(3+6)\mathrm{/}2\cdot 4=18{\text{dm}}^2 \end{gathered}$$

Try another example

Related math problems and questions:

• Is right triangle
  Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3dm, b = 40cm, c = 0.5m b) a = 8dm, b = 1.2m, c = 6dm
• Right angled triangle 2
  LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n
• Trapezoid ABCD v2
  Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD?
• Diamond area from diagonals
  In the diamond ABCD is AB = 4 dm and the length of the diagonal is 6.4 dm long. What is the area of the diamond?
• Trapezoidal prism
  Calculate the volume of a prism with a trapezoidal base with side a = 6dm, side c = 4 dm, height of the prism = 8dm. The height of the trapezoid is va = 3dm.
• Rectangular
  Rectangular triangle KLM with right angle at vertex L, angle beta at vertex K and angle alpha at vertex M. Angle at vertex M = 65°, side l = 17.5 cm. Use Pythagorean theorems and trigonometric functions to calculate the lengths of all sides and the angle
• R triangle
  Calculate the right triangle area whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg.
• Ratio in trapezium
  The height v and the base a, c in the trapezoid ABCD are in the ratio 1: 6: 3, its content S = 324 square cm. Peak angle B = 35 degrees. Determine the perimeter of the trapezoid
• Octagon from rectangle
  From tablecloth rectangular shape with dimensions of 4 dm and 8 dm we cuts down the corners in the shape of isosceles triangles. It thus formed an octagon with area 26 dm². How many dm² we cuts down?
• Internal angles
  Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at the B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A.
• Square prism
  Calculate the volume of a four-sided prism 2 dm high, and the base is a trapezoid with bases 12 cm, 6 cm, the height of 4 cm, and 5 cm long arms.
• Square plate
  The locksmith cut a square metal plate with a sidelong 6 dm into two identical rectangular openings with 2.5 dm and 2 dm dimensions. Calculate the remainder of the square plate.
• Isosceles trapezoid
  Calculate the content of an isosceles trapezoid whose bases are at ratio 5:3, the arm is 6cm long and it is 4cm high.
• Angles
  In the triangle ABC, the ratio of angles is: a:b = 4: 5. The angle c is 36°. How big are the angles a, b?
• Right triangle
  Right triangle legs has lengths 630 mm and 411 dm. Calculate the area of this triangle.
• Rectangular trapezoid
  Calculate the content of a rectangular trapezoid with a right angle at the point A and if |AC| = 4 cm, |BC| = 3 cm and the diagonal AC is perpendicular to the side BC.
• Quadrilateral 2
  Show that the quadrilateral with vertices P1(0,1), P2(4,2) P3(3,6) P4(-5,4) has two right triangles.