Question

The plans for a she'd call for a rectangular floor with a perimeter of 276ft. The length is two times the width. Find the length and the width
L = 2 W

P = 2 L + 2 W = 2 ( L + W )


276 = 2 ( L + W )

276 = 2 ( 2 W + W )

276 = 2 * 3 W

276 = 6 W Diwide both sides by 6

46 = W

W = 46 ft

L = 2 W = 2 * 46 = 92 ft


Proof:

P = 2 ( W + L ) = 2 * ( 46 + 92 ) = 2 * 138 = 276 ft

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