anonymous
  • anonymous
The length of the rectangle is 3ft longer than it's width. If it's length is decreased by 3ft. and it's width increased by 2ft, it's area would be decreased by 8 square ft. What is the length of the rectangle?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
W = (L-3). (L - 3)(W + 2) + 8 = (L)(W) But W = (L - 3) (L - 3)(L -1) + 8 = L(L - 3) L^2 - 4L +11 = L^2 -3L L = 11
anonymous
  • anonymous
thankyou
anonymous
  • anonymous
could you explain to me how to do this please

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
The length is 3ft longer than width. So width is (L - 3) and length is just (L). If the length is decreased by 3 (which will now make L - 3) and width is increased by 2 (so (L - 3) + 2), the area of the altered rectangle is now (L - 3) * (L - 3 + 2), which is just (L - 3)(L -1). This rectangle is 8 square feet short of the area of the first rectangle, which is just (L)(L - 3) Equating them gives the equation (L)(L - 3) = (L -3)(L -1) + 8. Now just solve for L.
anonymous
  • anonymous
I get it

Looking for something else?

Not the answer you are looking for? Search for more explanations.