The length and width of a rectangle are in a 5:3 ratio. Given that the perimeter is 96 cm, determine the area of the rectangle.
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Correct answer: B
Explanation
Given:
Length : Width = 5 : 3
Perimeter = 96 cm
According to the formula:
Perimeter = 2(Length + Width)
Let Length = 5x and Width = 3x
⇒ 2(5x + 3x) = 96
⇒ 2(8x) = 96
⇒ 16x = 96
⇒ x = 6
⇒ Length = 5 × 6 = 30
⇒ Width = 3 × 6 = 18
Area = Length × Width = 30 × 18 = 540 cm²