A rectangle has a length of x inches and a width 3 inches less than the length. If the dimensions were doubled, what would be the area of the new rectangle in t

Question

 ŠγΙчαΔÄ¿ƒ∫™Ý

Answer 1

If you want to know by what factor the area will

increase by doubling the dimensions :

Area = Lw

New area = (2L)(2w) = 4Lw

The answer is 4.

**************************

Length = x

Width = x - 3

Area: x(x-3) = x² - 3x

 

New rectangle:

Length = 2x

Width = 2(x-3) = 2x - 6

Area:  2x(2x-6) = 4x² - 12x = 4(x² - 3x)