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

Answer 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.