garrettatkinson12 garrettatkinson12
  • 23-08-2021
  • Mathematics
contestada

A trapezoid has a height of 6 ft and a total area of 30 ft^. What are the possible lengths of the bases. Explain your reasoning.

A trapezoid has a height of 6 ft and a total area of 30 ft What are the possible lengths of the bases Explain your reasoning class=

Respuesta :

colinspurdle colinspurdle
  • 23-08-2021
The area of a trapezoid = (a + b)/2 x h
Where a and b are the lengths of the parallel sides and h is the perpendicular distance between them.
When (a + b)/2 x 6 = 30
then (a + b)/2 = 5
a + b = 10

Possible values for (a,b) are (4,6) (3,7) (2,8) (1,9) assuming a < b but (7,3) is also valid.
Any positive real value is possible so (4.8, 5.2) and (0.3, 9.7) are valid

In general {a,b both real: 0
Answer Link

Otras preguntas

Evaluate the expression when a = 2 and b = 4. 6a – 2b + 5
What was congress's purpose in passing the lens-lease act? A. To lease U boats from Germany then lend to Britain B. Charge Britain more for US weapons than Br
The principal parts of a verb are a. present tense, present participle, past tense, past participle. b. present tense, past tense, future tense. c. base form
I am having trouble on starting this! Please help
Mi madre y mi padre son mis ____________
A 70 kg man is standing on the earth. a. what is his mass? b. what is his weight?
Read the passage from Jane Eyre, by Charlotte Bronte, in which Jane speaks of Mrs. Read. A.Jane discovers Mrs. Reed is not such a bad person. B. Jane discover
What does the name La Mancha refer to in Don Quixote? A. Don Quixote's region B. Don Quixote's sidekick C. Don Quixote's favorite author D. Don Quixote's
Sorry for the blurry can someone do these problems
How long did it take for the thick fertile soil of North American Prairies to develop