A seed company planted a floral mosaic of a national flag. the perimeter of the rectangular planting area is 420 feet. the lengt
h of the area is 110 feet longer than the width.
a.) write a system of equations to relate the length and width of the planting area
b.) use the system of equations to determine the length and width of the planting area
1 answer:
Answer:
Length = 50 feet
Width = 160 feet
Explanation:
I'm assuming the flagpole is not included in this question.
w
=
w
i
d
t
h
l
=
≤
n
>
h
The length compared to the width is:
w
=
l
+
110
<-- equation 1
The formula for perimeter:
P
=
2
w
+
2
l
420
=
2
w
+
2
l
<-- equation 2
Sub the first equation into the second.
420
=
2
(
l
+
110
)
+
2
l
Now you can solve for
l
algebraically.
420
=
2
l
+
220
+
2
l
4
l
=
200
l
=
50
Sub the found length into the first equation to find the length.
w
=
(
50
)
+
110
w
=
160
Therefore the flag is 50 feet long and 160 feet wide.
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