The length of a rectangle is 4 in longer than its width, which means
Length = 4 in + width
P = 362 in = 2L + 2W
362in = 2(4 in + W) + 2W = 8in+2W+2W = 8in + 4W
362in = 8in + 4W
Solve for W
362 in - 8in = 4W
354 = 4W
354/4 = W
88.5 = W
Replace W in the Length
Length = 4 in + W
Length = 4 in + 88.5in
Length = 92.5in
The formula for the area is A = Length * Width = L * W
Replace the values and find the area
A = L* W
A = 92.5in * 88.5in
A = 8186.25 in²
