The width of a rectangle is 2 feet shorter than its length. If its width is decreased by 1 foot and its length is increased by 4 feet, its area would be increased by 21 square feet. What is the width of the rectangle?
Thank you for the opportunity to help you with your question!
w=2f shorter than length
width decreased by 1 foot and length increased by 4 area increases by 21 square foot
let length be l and width w
Original area= L(L-2)
(w-1) x (L+4) =L(L-2) +21
Plugin the value of w in to the equation
(L-2-1) x (L+4)=L(L-2) +21
(L-3) x (L+4) =L^2 -2L +21
L^2 +4L -3L-12=L^2 -2L +21
Group like terms together
L^2 - L^2 +L+2L=34
Content will be erased after question is completed.
Enter the email address associated with your account, and we will email you a link to reset your password.
Forgot your password?