Question

The length of a rectangle is 5 more than twice the width. the perimeter is 130 inches. what is te area

Answer 1

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

Answer 2

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