# R Trapezium

Rectangular trapezium has bases 12 and 5 and area 84 cm2.

What is its perimeter?

Result

p =  38.993 cm

#### Solution:

$a=12 \ \text{cm} \ \\ c=5 \ \text{cm} \ \\ S=84 \ \text{cm}^2 \ \\ \ \\ S=\dfrac{ a+c }{ 2 } h \ \\ \ \\ h=2 \cdot \ S / (a+c)=2 \cdot \ 84 / (12+5) \doteq \dfrac{ 168 }{ 17 } \doteq 9.8824 \ \text{cm} \ \\ b=h=9.8824 \doteq \dfrac{ 168 }{ 17 } \doteq 9.8824 \ \text{cm} \ \\ \ \\ d=\sqrt{ (a-c)^2+b^2 }=\sqrt{ (12-5)^2+9.8824^2 } \doteq 12.1104 \ \text{cm} \ \\ \ \\ p=a+b+c+d=12+9.8824+5+12.1104 \doteq 38.9927 \doteq 38.993 \ \text{cm}$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. Isosceles trapezium
Calculate the area of an isosceles trapezium ABCD if a = 10cm, b = 5cm, c = 4cm.
2. Horses playground
The fence for the horses has the shape of a rectangular trapezoid with an area of 400 m2, the base lengths should be 31 m and 19 m. How many meters of boards will they need to fence it if the boards are stacked in 5 rows?
3. Median in right triangle
In the rectangular triangle ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse).
4. ISO trapezoid v2
bases of Isosceles trapezoid measured 12 cm and 5 cm and its perimeter is 21 cm. What is the are of a trapezoid?
5. Land - isosceles trapezoid
Calculate the content and perimeter of the building plot in the form of an isosceles trapezoid with bases 120m, 95m and height 50m.
6. Isosceles trapezoid
The lengths of the bases of the isosceles trapezoid are in the ratio 5:3, the arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid.
7. Isosceles trapezoid
What is the height of an isosceles trapezoid, the base of which has a length of 11 cm and 8 cm and whose legs measure 2.5 cm?
8. Isosceles triangle
Calculate area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
9. ISO Triangle V2
Perimeter of RR triangle (isosceles) is 474 m and the base is 48 m longer than the arms. Calculate the area of this triangle.
10. The right triangle
The right triangle ABC has a leg a = 36 cm and an area S = 540 cm2. Calculate the length of the leg b and the median t2 to side b.
11. A truck
A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)?