2L + 2W = 130 L = 2W+5 2(2W+5) + 2W = 130 4W+10 + 2W = 130 6W + 10 = 130 6W = 120 W = 20 If the width is 20, then the length is twice that plus 5, or 45 L = 45 and W = 20 area = L*W or 900
The length of a rectangle: L = 2 W + 5 The perimeter: P = 2 L + 2 W 130 = 2 · ( 2 W + 5 ) + 2 W 130 = 4 W + 10 + 2 W 130 - 10 = 6 W 120 = 6 W W = 120 : 6 W = 20 in L = 2 · 20 + 5 L = 40 + 5 L = 45 in. Finally the area: A = L · W A = 20 · 45 A = 900 in²