The perimeter of the rectangle is 6 in 8 cm, one of its sides is 1 in 6 cm less than the adjacent side. find the area of the rectangle.
Let’s express all values in centimeters. There are 10 centimeters in one decimeter:
P = 6dm 8cm = 6 * 10 + 8cm = 68cm.
Let one of the sides be x cm, then the other side is equal to x-1dm 6cm = x-16 cm.
The perimeter is calculated by the formula the sum of the length and width multiplied by two.
P = 2 * (a + b)
2 * (x + x-16) = 68
2 * (2x-16) = 68
4x-32 = 68
4x = 68 + 32
4x = 100
x = 100/4
x = 25
Let’s calculate the length of the other side:
1) 25 cm – 16 cm = 9 cm length of the other side.
The area of a rectangle is calculated as the product of its length and width.
S = a * b
1) 25 cm * 9 cm = 225 cm2
Answer: the area of the rectangle is 225 cm2.
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