A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,240 ft. Determine the flags width and

Question

3 years ago

6

length if the length is 420 ft greater than the width

1 answer:

s344n2d4d5 [400] · Answer 1 · 2022-08-28T06:24:53+03:00

Answer: the length of the flag is 770ft.

The width of the flag is 350 ft

Step-by-step explanation:

Let L represent the length of the national flag.

Let W represent the width of the national flag.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of the flag is 2,240ft. This means that 2240 = 2(L + W)

Dividing through by 2, it becomes

1120 = L + W- - - - - - - - - - - -1

if the length is 420 ft greater than the width, it means that

L = W + 420

Substituting L = W + 420 into equation 1, it becomes

1120 = W + 420 + W

2W + 420 = 1120

2W = 1120 - 420 = 700

W = 700 / 2 = 350

L = W + 420 = 350 + 420

L = 770