The perimeter of a rectangle is 320cm. if the ratio of the length of its sides is 3:5
Answers
Sol: Given that Perimeter of the rectangle = 320 cm
Ratio of length of its Sides = 3:5
Let the ratio be in x , i.e. sides are 3x and 5x .
The perimeter of the rectangle = 2x(sum of length and breadth)
⇒ 2×(3x+5x) = 320 cm
⇒ 2×(8x) = 320 cm
⇒ 16x = 320 cm
⇒ x = 320÷16 cm
⇒ x = 20 cm
Hence the sides are 3x = 20×3 = 60
and 5x = 20×5 = 100
i.e. Sides are 60 and 100 .