SOLUTION: If a rectangular field has a width of 11 meters and a perimeter of 68 meters, calculate the area of the field. a)506m b)748m c)253m d)46m

Algebra ->  Rectangles -> SOLUTION: If a rectangular field has a width of 11 meters and a perimeter of 68 meters, calculate the area of the field. a)506m b)748m c)253m d)46m      Log On


   

Question 764631: If a rectangular field has a width of 11 meters and a perimeter of 68 meters, calculate the area of the field.
a)506m
b)748m
c)253m
d)46m
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

one correction first: if you are looking for area, answer choices are wrong,
a)506m
b)748m
c)253m
d)46m
it should be m%5E2 in each choice above

a rectangular field has a length L and a width W
a perimeter P=2L%2B2W
area A=L%2AW
if a width of W=11m and a perimeter of P=68m, then
68m=2L%2B2%2A11m...solve for L
68m=2L%2B22m
68m-22m=2L
46m=2L
46m%2F2=L
highlight%2823m=L%29
now we can calculate the area:
A=23m%2A11m
A=253m%5E2
so, you answer is c) 253m%5E2