Question

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

Answer 1

x = 5

Explanation:

Width = x inches

Length = (x+3) inches

Area = 40 sq inches

The area of a rectangular shaped object is given by :

`A=l* b`

Putting all the values,

`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`

Neglecting x = -8.

So, the value of x is 5.