SOLUTION: A children’s park has an area of 84 square meters and a perimeter of 38 meters. What are its length and width?

Algebra.Com
Question 1187408: A children’s park has an area of 84 square meters and a perimeter of 38 meters. What are its length and width?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Rectangle shape or what?

If w for width and L for length then

.
.

Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

The sum of the adjacent sides is  x + y = 38/2 = 19 m.


The product of the sides is 84 square meters (the area).


So, your equation is


    x*(19-x) = 84.


Write it in the standard form of a quadratic equation and solve using the quadratic formula or factoring.


The ANSWER is: the dimensions of the park are 7 meters by 12 meters.

Solved.



RELATED QUESTIONS

A rectangular garden has an area of 84 sq meters and a perimeter of 38 meters. Find its... (answered by macston)
THE LOTS HAS AN AREA OF 84 SQUARE METERS AND HAS A PERIMETER OF 25 METERS. FIND ITS... (answered by ikleyn)
A park has an area of 64 square meters and a perimeter of 40 meters. Please tell me the... (answered by checkley77)
The length of a rectangle is 5 meters more than its width. If the area is 84 square... (answered by mananth)
A rectangular field has a perimeter of 220 meters and an area of 2,856 square meters.... (answered by mananth)
A rectangular concrete patio has a perimeter of 38 meters and an area of 90 square... (answered by josgarithmetic)
a rectangular room has a area of 60 square meters and perimeter of 34 meters. what are... (answered by josgarithmetic)
A rectangle has an area of 1350 square meters. Its length and width are whole numbers.... (answered by Alan3354)
If a swimming pool has a perimeter of 18 meters and covers an area of 18 square meters... (answered by ankor@dixie-net.com)