The sides of the rectangle are 15 cm and 25 cm. By what percentage will the perimeter

| April 2, 2021 | education

The sides of the rectangle are 15 cm and 25 cm. By what percentage will the perimeter of the rectangle increase if each side is increased by 10 cm?

To solve this problem, remember that the perimeter of a rectangle is the sum of the lengths of all its sides. Since in a rectangle the opposite sides are equal, then P = 2 * (a + b), where a is the length, b is the width. We calculate the perimeter of the rectangle if the length is 25 cm and the width is 15 cm.
P = 2 * (25 + 15) = 2 * 40 = 80 cm.
Now let’s calculate the perimeter if the length is 25 + 10 = 35 cm and the width is 15 + 10 = 25 cm.
P = 2 * (35 + 25) = 60 * 2 = 120 cm.
Let’s calculate how many centimeters the perimeter will increase.
120-80 = 40 cm.
Recall, in order to find how many percent one number is from another, you need to find the quotient of these numbers and convert it to percentages (for this, multiply the resulting number by 100%).
40/80 * 100 = 1/2 * 100 = 100/2 = 50%.
Answer: 50%.



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