A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 420 feet. What is the flag's length and width if the length is 110 feet greater than the width?

1 Answer
Jan 7, 2016

Length = 50 feet
Width = 160 feet

Explanation:

I'm assuming the flagpole is not included in this question.
#w=width#
#l = length#

The length compared to the width is:
#w = l + 110# <-- equation 1

The formula for perimeter:
#P = 2w + 2l#
#420 = 2w + 2l# <-- equation 2

Sub the first equation into the second.
#420 = 2(l + 110) + 2l#

Now you can solve for #l# algebraically.
#420 = 2l + 220 + 2l#
#4l = 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.