the length and breadth of a rectangle are in. ratio 5:3 if it's perimeter is 80 cm find its length and breadth
Answers
Answer:
length = 25cm , breadth = 15cm
Step-by-step explanation:
let the length be 5x and breadth be 3x
2(5x+3x) = 80
8x =40
x= 5
Answer:
Lenght: 25 cm.
Breadth: 15 cm.
Step-by-step explanation:
Ratio of the Length and Breadth of the Rectangle: 5:3.
Let the Length and Breadth of the Rectangle be 5x and 3x, respectively.
Perimeter of the given Rectangle: 80cm.
Perimeter of Rectangle: 2×(l+b) unit.
Therefore, we get,
2(5x+3x) = 80
{Transposing 2 to RHS...}
→ 8x = 80/4
→ 8x = 40
{Transposing 8 to RHS...}
→ x = 40/8
→ x = 5
Lenght of the Rectangle: 5x →5×5 →25cm.
Breadth of the Rectangle: 3x →3×5 →15cm.
Checking the Solution...
Lenght of the Rectangle: 25 cm.
Breadth of the Rectangle: 15 cm.
Perimeter of the Rectangle: 2×(l+b) unit.
→2 × (25 + 15)
→2 × 40
→80 cm.
Given Perimeter of the Rectangle: 80cm.
80cm = 80cm.
{Condition Satisfied...}
Hence the Length and Breadth of the Rectangle are 25cm and 15cm, respectively.
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