Answer:
Step-by-step explanation:
L= length
w= width= L-3
A= area= 238 ft^2
LENGTH
Area Formula
A= LW
substitute w value
238= (L)(L- 3)
multiply L by parentheses
238= L^2 - 3L
subtract 238 from both sides
0= L^2 - 3L - 238
factor
0= (L + 14)(L - 17)
set each parentheses equal to 0
0= L + 14
-14= L
OR
0= L - 17
17 ft= L
*Since the measure of a rectangle would not be negative, L= 17 ft
WIDTH
w= L - 3
w= 17 - 3
w= 14 ft
ANSWER: Length= 17 ft; Width= 14 ft
Answer:
Length= 17 ft; Width= 14 ft
Step-by-step explanation:
L= length
w= width= L-3
A= area= 238 ft^2
LENGTH
Area Formula
A= LW
substitute w value
238= (L)(L- 3)
multiply L by parentheses
238= L^2 - 3L
subtract 238 from both sides
0= L^2 - 3L - 238
factor
0= (L + 14)(L - 17)
set each parentheses equal to 0
0= L + 14
-14= L
OR
0= L - 17
17 ft= L
*Since the measure of a rectangle would not be negative, L= 17 ft
WIDTH
w= L - 3
w= 17 - 3
w= 14 ft
ANSWER: Length= 17 ft; Width= 14 ft
