Martintwinlight7767 Martintwinlight7767
  • 10-01-2021
  • Mathematics
contestada

A trapezoid has an area of 152 square kilometres. One base is 5 kilometres long. The height measures 16 kilometres. What is the length of the other base?

Respuesta :

yahyeet22164 yahyeet22164
  • 10-01-2021

Answer:

14 km

Step-by-step explanation:

The area of a trapezoid is

[tex]A = (\frac{b_{1}+b_{2}}{2} )h[/tex]

with [tex]b_{1}[/tex] being base 1, [tex]b_{2}[/tex] being base 2, and h being the height.

Substituting and solving, we get

[tex]152=(\frac{5+b_{2}}{2})(16)\\9.5=(\frac{5+b_{2}}{2})\\19=5+b_{2}\\b_{2}=14 km[/tex]

Answer Link

Otras preguntas

A carpenter has several boards of equal length. He cuts 3/5 of each board. After cutting the boards, the carpenter notices that he has enough pieces left over t
give an example on how to make an acrostic poem using the word kinetic
64% of 75 tiles is?
Which dynasty do many Chinese people still identify strongly with today?
what adds to 10 and multiplies to 11
Trade led to many changes in Sumerian society. A. True B. False
How can activities such as yoga and meditation serve as alternatives to drug use? A. They are a nondrug means of altering one's state of mind. B. They counterac
Which of the following is an example of a homogeneous mixture? A. Bronze B. Sand C. Copper D. Zinc
What does Mercato Vecchio mean and what are some characteristics of it? a. old market, crowded and noisy b. new market, clean and orderly c. La Pieta, David, Mo
could have president Wilson avoided war with Germany