Perimeter is 290ft and length is 43ft longer than the width. What are the dimensions of the room
If the room have rectangle form then :
L = W + 23
P = 2 W + 2 L
P = 2 ( W + L )
P = 2 ( W + W + 23 )
P = 2 ( 2 W + 23 )
P = 4 W + 46
290 = 4 W + 46 Subtract 46 to both sides
290 - 46 = 4 W + 46 - 46
244 = 4 W Divide both sides by 4
244 / 4 = 4 W / 4
61 = W
W = 61 ft
L = W + 23
L = 61 + 23 = 84 ft
Proof :
P = 2 ( W + L ) = 2 ( 61 + 84 ) = 2 * 145 = 290 ft