Find the area of a rectangle if the perimeter is known = 18 cm, and one of the sides is 1 cm larger than the other?
September 28, 2021 | education
| The perimeter of a rectangle is found by the formula: P = 2 (a + b), where a and b are the sides of the rectangle.
Find the sum of the sides if the perimeter is 18:
a + b = 18/2 = 9
Since a is larger by 1 cm, then we express it as follows:
a = b + 1.
Let’s make an equation.
b + 1 + b = 9
2b + 1 = 9
2b = 8
b = 4
Let’s find side a.
a = 4 + 1 = 5 cm.
The area of the rectangle is a * b.
Let’s find the area of our rectangle, knowing that one side of the wound is 4 cm, the other 5 cm.
4 * 5 = 20 cm ^ 2.
Answer: The area of the rectangle is 20 cm ^ 2.
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