The length of a rectangle is 3 more than the width. find the length of the rectangle if the perimeter is 98 in

The length of the rectangle is 26 in

Step-by-step 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

4th option is correct xy=-10

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