Question

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 500 feet. Determine the flag’s length and width if the length is 70 feet greater than the width.

Answer 1

Let the width be x

length = 70+x

Perimeter =2(l+b)

500=2(70+x+x)

70+2x=250

2x=180

x=90

Width = 90 feet

Length = 70+90=160

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Answer 2

Width = 90 feet and length = 160 feet

Explanation:

Let w = width

Let w + 70 = length

The perimeter would be 2(w) + 2(w + 70) = 2w+ 2w + 140 which must equal 500 feet.

Add the like terms:

4w+140=500; subtract 140 from both sides; 4w = 360; divide both sides by 4 and you get w= 90. If w = 90, then length = 90 + 70 = 160 feet