Question

The perimeter of the flag is 2080 ft what is the flags width and length of the length is 420 ft greater than the width

Answer 1

Answer:

The length of the flag is 730 ft and the width is 310 ft

Step-by-step explanation:

The correct question is

The perimeter of the flag is 2080 ft what is the flags width and length if the length is 420 ft greater than the width

Let

L ----> the length of the flag

W ---> the width of the flag

we know that

The perimeter of the flag (rectangle) is equal to

$P=2(L+W)$

we have

$P=2,080\ ft$

so

$2,080=2(L+W)$

$1,040=L+W$ ----> equation A

$L=W+420$ ---> equation B

Solve the system by substitution

substitute equation B in equation A

$1,040=(W+420)+W$

solve for W

$1,040=2W+420$

$2W=1,040-420$

$2W=620$

$W=310\ ft$

Find the value of L

$L=W+420$ ----> $L=310+420=730\ ft$

therefore

The length of the flag is 730 ft and the width is 310 ft