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

Question

3 years ago

12

384 square feet, what is the value of x?

1 answer:

Free_Kalibri [48] · Answer 1 · 2022-08-18T18:38:17+03:00

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