The length of a rectangle is four more than three times its width. the area of the rectangle is 25. write an algebraic model for

Question

3 years ago

11

this situation. solve the equation to find the dimensions of the rectangle.

1 answer:

Dafna11 [192] · Answer 1 · 2022-07-13T23:15:34+03:00

4 0

width (w) = w

Length (L) = 3w + 4

Area (A) = L x w

25 = (3w + 4)w

25 = 3w² + 4w

0 = 3w² + 4w - 25

w = $\frac{-2 +/-\sqrt{79} }{3}$

w ≈ 2.3, w ≈ -3.6 (width cannot be negative!)

w ≈ 2.3

Length (L) = 3w + 4 = 3(2.3) + 4 = 6.9 + 4 = 10.9

Answer: width=2.3, Length=10.9