The perimeter of a rectangle equals the sum of its lengths of its 4 sides. If the width of a rectangle is 4 inches and its perimeter is 38 inches, find the length of the rectangle.
P = Perimeter
L = Legth
W = Width
P = 2 L + 2 W = 2 ( L + W )
38 = 2 ( L + 4 ) Divide both sides by 2
19 = L + 4 Subtract 4 to both sides
19 - 4 = L + 4 - 4
15 = L
L = 15 in
To find the length of the rectangle, we can use the formula for the perimeter of a rectangle, which is given by P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
In this case, we are given the width as 4 inches and the perimeter as 38 inches. Plugging these values into the formula, we get:
38 = 2L + 2(4)
Now, simplify the expression:
38 = 2L + 8
Next, isolate the variable by subtracting 8 from both sides:
38 - 8 = 2L + 8 - 8
30 = 2L
Divide both sides by 2 to solve for L:
30/2 = 2L/2
15 = L
So, the length of the rectangle is 15 inches.