Question

a seed company planted a floral mosaic of a national flag. the perimeter of the rectangular planting area is 420 feet. the length 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

Answers

  1. 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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