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

The volume of a prism is 45yd3
Can someone please help me
Read this excerpt from Henry Ford’s autobiography, My Life and Work. It was life on the farm that drove me into devising ways and means to better transportation
Cells divide, differentiate, or die. what is differentiation?
Thanks again for new one end of this week Andrew I have been emailing you because I have to be in the office today but will b in there and back to too you are
Can somebody help me?
swimming pool has a length of 30 feet, a width of 15 feet, and a depth of 4 feet. How much water can the swimming pool hold?
which sentence describes a characteristic of a website
What is the solution to the equation 1.25+r=4? A. R=2.75 B. R=3.75 C. R=5.25 D. R=5.75
between 1500 and 1800 African slaves were primarily imported to the tropical regions in the new world to work on these​