The length and breadth of a rectangle are in the ratio 4:8. If the perimeter is 88 cm, find the length.
Answers
QuestioN :
The length and breadth of a rectangle are in the ratio 4:8. If the perimeter is 88 cm, find the length.
GiveN :
- The length and breadth of a rectangle are in the ratio 4:8.
- The perimeter is 88 cm.
To FiNd :
- The length of the rectangle
ANswer :
The length of the rectangle is 29.36 cm .
SolutioN :
Let the sides be x,
The length and breadth of a rectangle are in the ratio 4:8.
The breadth = 4x
The length = 8x
We, know the perimeter of a rectangle = 2 ( l + b )
The perimeter is 88 cm.
2 ( l + b ) = 88 cm.
→ 2 ( 8x + 4x ) = 88
→ 2 × 12x = 88
→ 24x = 88
→ x = 88/24
→ x = 3.67
∴The breadth = 4x = 4 × 3.67 = 14.68 cm.
∴The length = 8x = 8 × 3.67 = 29.36 cm.
Answer:
29.36 cm
Step-by-step explanation:
Let the sides be x,
The length and breadth of a rectangle are in the ratio 4:8.
The breadth = 4x
The length = 8x
We, know the perimeter of a rectangle = 2 ( l + b )
The perimeter is 88 cm.
2 ( l + b ) = 88 cm.
➝ 2 ( 8x + 4x ) = 88
➝ 2 × 12x = 88
➝ 24x = 88
➝ x = 88/24
➝ x = 3.67
The breadth = 4x = 4 × 3.67 = 14.68 cm
The length = 8x = 8 × 3.67 = 29.36 cm
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