hahadontknow hahadontknow
  • 03-11-2020
  • Mathematics
contestada

The width of a picture frame is x inches and the length is x+3 inches, what is the value of x if the area must be 40 square inches

Respuesta :

Muscardinus Muscardinus
  • 09-11-2020

Answer:

x = 5

Step-by-step explanation:

Width = x inches

Length = (x+3) inches

Area = 40 sq inches

The area of a rectangular shaped object is given by :

[tex]A=l\times b[/tex]

Putting all the values,

[tex]x(x+3)=40\\\\x^2+3x-40=0\\\\x^2+8x-5x-40=0\\\\x(x+8)-5(x+8)=0\\\\(x-5)(x+8)=0\\\\x=5,-8[/tex]

Neglecting x = -8.

So, the value of x is 5.

Answer Link

Otras preguntas

What MIGHT be a benefit of natural monopolies, or economies of scale? ​
During the American Revolution, the redcoats
Which MOST LIKELY represents the gas being released and the process used to make it?
Please help me with this....
Do you believe that citizens should be able to vote on the internet? Why or why not?
The two triangular pyramids are similar. The smaller pyramid has a volume of 52 inches3. What is the volume of the larger pyramid? Round to the nearest tenth
differentiate between workbook and worksheet​
Ice is placed in hot water. What happens to the temperature of the ice and the water? A. The ice and the water both get cooler. B. The ice gets cooler, an
what is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively? a) 1b) 2c) 3d) 4​
I need a bio poem,haiku poem and diamond/diamonte poem