The length of the rectangle is 9 feet and the width of the rectangle is 10 feet.
<h3>What is the Perimeter of a Rectangle?</h3>
The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.
- A rectangle has four 90° angles.
- The lengths of a rectangle's diagonals are equal.
Let the length of the rectangle be x feet
Then, the width of the rectangle will be x+1feet
We know that the perimeter of a rectangle is given by
P= 2(l+w)
Here
P= perimeter of a rectangle
l=length of the rectangle
w= width of the rectangle
Put l=x, w= x+1 and P= 38 in the perimeter formula
38 = 2(x+x+1)
Divide both sides by 2
19= x+x+1
19= 2x+1
Subtract 1 from both sides
18=2x
Divide both sides by 2
x=9 feet
This is the length of the rectangle.
Now, the width x+1 of the rectangle will be
9+1 = 10 feet
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