Answer:
The length of the rectangle is 26 in
Explanation:
Width of the rectangle: W
The length of the rectangle is 3 more than the width:
Length of the rectangle: L=3 in+W
Find the length of the rectangle if the perimeter is 98 in:
L=?
Perimeter: P=98 in
P = 2(L+W)
Replacing P by 98 in and L by 3 in+W in the equation above:
98 in = 2[(3 in+W)+W]
98 in = 2(3 in+W+W)
98 in = 2(3 in+2W)
Solving for W: Dividing both sides of the equation by 2:
98 in / 2 = 2(3 in+2W)/2
49 in = 3 in+2W
Subtracting 3 in both sides of the equation:
49 in - 3 in = 3 in +2W - 3 in
46 in = 2W
Dividing by 2 both sides of the equation:
46 in / 2 = 2W/2
23 in = W
W=23 in
Finally:
L=3 in +W
Replacing W by 23 in in the equation above:
L=3 in + 23 in
L=26 in