SOLUTION: Anton Smith is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 4 meters, the new total area of the gardn will be

Question 131658: Anton Smith is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 4 meters, the new total area of the gardn will be 100 square meters. Find the length of each side of the original garden.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If the original side length is x, then the new side length must be x + 4. The area of a square is the length of the side squared, so

and , so

So or . Since we are looking for a measure of length, -14 doesn't make sense, so we can exclude this root as extraneous caused by squaring the variable. The original length of the side of the garden is then 6 meters.

Check the answer: ,
RELATED QUESTIONS
3. Aimee Eslinger is planning an expansion of a square flower garden in a city park. If... (answered by ankor@dixie-net.com)

Tasha is planning an expansion of a square flower garden in a city park. If each side of... (answered by ewatrrr)

Tasha is planning an expansion of a square flower garden in a city park. If each side of... (answered by god2012,solver91311)

Tashia Baker is planning an expansion of a square flower garden in a city park. If each... (answered by scott8148)

Tashin Baker is planning an expansion of a square flower garden in a city park. If each... (answered by nerdybill)

a landscape designer is planning a flower garden for a city park. the park has an area of (answered by josgarithmetic)

expansion of a square garden. each side is increased by 7 ft new total area will be 144... (answered by ash89,checkley71)

Question 1) A square flower bed in Michelle's garden is to be enlarged by adding 3 feet... (answered by ankor@dixie-net.com)

expansion of square city garden. each side is increased by 7 meters, the new total area... (answered by scott8148)