Question

The area of a rectangle is

(x2 + 17x+42) ft?
If its width is (x + 3) ft.
What is its length?

Answer 1

Explanation:

area= L×W

L×(x+3)= x²+17x+42

L×(x+3)= (x+3)(x+14)

by dividing (x+3) from both sides

∴ L=(x+14)

Answer 2

( x + 14) ft

Explanation:

`length \: of \: rectangle = (area \: of \: rectangle)/(width \: of \: rectangle) \\ \\ = \frac{ {x}^(2) + 17x + 42}{x + 3} \\ \\ = \frac{ {x}^(2) + 14x + 3x + 42}{x + 3} \\ \\ = \frac{ x({x} + 14) + 3(x + 14)}{x + 3} \\ \\ = \frac{ ({x} + 14) (x+ 3)}{x + 3} \\ \\ = x + 14 \\ \therefore \: length \: of \: rectangle =( x + 14) \: ft`