anonymous
  • anonymous
Someone please help me. Solve Holly has a rectanglar garden that measures 12m by 14m. She wants to increase the area to 255m by increasing the width and length by the same amount. What will be the dimensions of the new garden?
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
lets call the number we increase by \(x\) so we already have an area of \(12\times 14=168\) and we want to increase it to 255 so we need \((12+x)(14+x)=255\) and we have to solve for x
anonymous
  • anonymous
The current area is 12*14 = 168m square Let 'x' be the dimension she increases the width and lengths by, the new dimensions will be (12+x) and (14+x) and when you multiply these two, you should get 255 (12+x)(14+x) = 255 x^2 + 26x -87 = 0 Solve this quadratic equation and you get x= 3 and x=-29 Since length dimensions cannot be negative, we ignore -29 and follow up with x=3 The new dimensions of garden will be 15m by 17m You can verify answer by calculating new area = (15*17) = 255m
anonymous
  • anonymous
what mubzz said

Looking for something else?

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

More answers

anonymous
  • anonymous
How did you get 15 and 17?
anonymous
  • anonymous
When we solved the quadratic equation, we got the values of x as 3 and -29. As I mentioned, we will ignore -29 and go with x=3 Our original dimensions were 12 by 14. 'x' is the increase in these dimensions, therefore the new dimensions will be 12+x and 14+x. Replacing x by 3 gives us 15 by 17. Does that clear things?
anonymous
  • anonymous
O thanks now i get it silly me :P

Looking for something else?

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