Given the length and width of a rectangle and the formula for its perimeter, we found that the rectangle's perimeter is 64 units. This demonstrates how to apply a formula and solve for the desired value in a real-world context.
We're given the formula for the perimeter (p) of a rectangle, where p is the sum of twice the length (l) and twice the width (w):
p = 2l + 2w
We also know the values for both length and width:
l = 22
w = 10
Now, let's find the perimeter (p) of the rectangle:
Substitute the known values into the formula:
p = 2(22) + 2(10)
Simplify the expression:
p = 44 + 20
p = 64
Therefore, the perimeter of the rectangle is 64 units.
Explanation Breakdown:
The formula p = 2l + 2w tells us that the perimeter is calculated by adding twice the length and twice the width.
Knowing the values of l and w, we simply plug them into the formula and perform the calculation.
The final answer, 64 units, represents the total length of all the sides of the rectangle combined.