Answer:
29.49 square inches
Step-by-step explanation:
Let the length of the rectangle be x inches
Therefore, width = (2x - 7) inches
Perimeter of rectangle =2( length + width)
therefore,
43.6 = 2 ( x + 2x - 7)
43.6/2 = 2 ( 3x - 7)
21.8 = 6x - 14
21.8 + 14 = 6x
6x = 35.8
x = 35.8/6
x = 5.97 inches
Length = 5.97 inches
width = 2*5.97-7 =11.94 - 7 = 4. 94 inches
Area of rectangle
= Length * width
= 5.97*4.94
=29.4918
= 29.49 square inches