What is the perimeter of a rectangle with sides 8.7 cm and 5.6 cm?
Answer (2)
Identify the given side lengths of the rectangle.
Apply the formula for the perimeter of a rectangle: P = 2 l + 2 w .
Substitute the given lengths into the formula and calculate the perimeter: P = 2 ( 8.7 ) + 2 ( 5.6 ) = 28.6 .
State the final answer with the correct unit: 28.6 cm .
Explanation
Problem Analysis We are given a rectangle with sides of length 8.7 cm and 5.6 cm. We need to find the perimeter of this rectangle.
Perimeter Formula The perimeter of a rectangle is given by the formula: P = 2 l + 2 w where l is the length and w is the width of the rectangle. In our case, l = 8.7 cm and w = 5.6 cm.
Calculation Substitute the given values into the formula: P = 2 ( 8.7 ) + 2 ( 5.6 ) P = 17.4 + 11.2 P = 28.6 The perimeter of the rectangle is 28.6 cm.
Final Answer The perimeter of the rectangle with sides 8.7 cm and 5.6 cm is 28.6 cm.
Examples
Understanding the perimeter of a rectangle is useful in many real-life situations. For example, if you're building a rectangular fence around a garden, you need to know the perimeter to determine how much fencing material to buy. Similarly, if you're framing a rectangular picture, you need to know the perimeter to determine the length of the frame needed. Knowing how to calculate the perimeter helps in planning and budgeting for these kinds of projects.
The perimeter of the rectangle with sides 8.7 cm and 5.6 cm is 28.6 cm. This is calculated using the formula P = 2l + 2w by substituting the side lengths. The final result indicates the total distance around the rectangle.
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