The length of the flag is 2 cm less than 7 times the width. The perimeter is 60cm. Find the length a

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The length of the flag is 2 cm less than 7 times the width. The perimeter is 60cm. Find the length and width.

A flag is a rectangle shape. So we have the following equations

Since P = 2l + 2w, we have 2l + 2w = 60
l = 7w - 2

Substitute Equation 1 into Equation 2:
2(7w -2) + 2w = 60
14w - 4 + 2w = 60
16w - 4 = 60

Add 4 to each side
16w = 64

Divide each side by 16 to isolate w
w = 4
Which means l = 7(4) - 2 = 28 - 2 = 26