The length of a rectangular floor is 5 feet less than twice its width. The area of the rectangle is 150 square feet. What is the length of the room?

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Answer 1 · 2017-07-17T02:39:51

See below

width $= 10$ feet
length $= 15$ feet

Area = length X width
let width $w=x$
let length $l=2x-5$

$A=150=x(2x-5)$

distribute $" "150=2x^2-5x$

subtract 150 from both sides $" "150-150=2x^2-5x-150$

factor $" "(2x+15)(x-10)=0$

width $x=10" "$ or $x=-15/2$
since distance cannot be negative, $" "x=10$

width $= 10$ feet
length $= 2*10-5 =15$ feet