JoeyDoesMath9548 JoeyDoesMath9548
  • 23-11-2020
  • Mathematics
contestada

Suppose a stage for the Lunar New Year festival has a length of 24 feet and a width of 4x + 4 feet. If the area of the stage is 384 square feet, what is the value of x?

Respuesta :

adefunkeadewole adefunkeadewole
  • 24-11-2020

Answer:

The value of x is 3

Step-by-step explanation:

The stage is rectangular in shape.

The formula for area of a rectangle is:

Length × Width

Length = 24 feet

Width = 4x + 4 feet

Hence:

384 = (4x + 4) × (24)

384 = 96x + 96

Collect like terms

384 - 96 = 96x

288 = 96x

x = 288/96

x = 3

The value of x is 3

Answer Link

Otras preguntas

The cost of mailing a DVD in an envelope by express mail is equal to the cost of mailing a DVD in a box by priority mail. What is the weight of the DVD with its
12yd/min_______ ft/s
what is the lcm of 13 and 20, 11 and 13, 17 and 7, and 17 and 8? please help soon
The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and the tail are 15 feet 6 inches long. What is the length of the tail?
A farmer set out to travel on a 170 km stretch of lonely prairie highway at an average speed of 105 km/h. he was more than halfway across when his car broke dow
Diego's investment in a stock grew 28% to $448. how much did he invest?
Diego's investment in a stock grew 28% to $448. how much did he invest?
Is g(s)=4s^2/3 an odd function?
What is the answer to: Simplify 9^3/2 ? Thanks guys! :)
what is 6 added to twice a number is equal to negative 8