if you have and area of 245 in. what is the length and width of the rectangle if the length is 1.25 times the width

Answer 1

area = length * width

245 = x*( x+1.25) ; width is x; length is x+1.25

245 = x^2 + 1.25x

24500 = 100x^2 + 125x

0 = 100x^2 + 125x - 24500

0 = 4x^2 + 5x - 980

quadratic formula says:

x = (3/8)*sqrt(1745) -5/8 = 15.04-

length is 16.29-

0 = ( ) ( ) 2*2*2*2*5*7*7

Answer 2

Let x = width

1.25x = length

Area = LW Plugging values in

245=(1.25x)(x) Simplify

245=1.25x² Divide both sides by 1.25

245/1.25=1.25x²/1.25

14=x

(1.25)(14) = 17.5

The width of the rectangle is 14 in, the length is 17.5 in.