A wire of length 150 cm is bent into a rectangle. If the length of the rectangle is 5 cm less than thrice its breadth,
Answers
Answer:
The length of the rectangle is 55 cm
The breadth of the rectangle is 20 cm
Step-by-step explanation:
Let,
Breadth of rectangle = x
Length of rectangle = 3x - 5
Perimeter of rectangle = 150 cm
Perimeter of rectangle = 2 (l + b)
⇒ 2 (x + 3x - 5 ) = 150
⇒ 2 ( 4x - 5) = 150
⇒ 8x - 10 = 150
⇒ 8x = 150 + 10
⇒ 8x = 160
⇒ x = 160 / 8
⇒ x = 20
Breadth of rectangle = 20 cm
Length of rectangle = 3x - 5
⇒ 3 (20) - 5
⇒ 3 × 20 - 5
⇒ 60 - 5
⇒ 55
Length of rectangle = 55 cm
Therefore,
The length of the rectangle is 55 cm
The breadth of the rectangle is 20 cm:
Answer:
The length of the rectangle is 55 cm
The breadth of the rectangle is 20 cm
Step-by-step explanation:
Let,
Breadth of rectangle = x
Length of rectangle = 3x - 5
Perimeter of rectangle = 150 cm
Perimeter of rectangle = 2 (l + b)
⇒ 2 (x + 3x - 5 ) = 150
⇒ 2 ( 4x - 5) = 150
⇒ 8x - 10 = 150
⇒ 8x = 150 + 10
⇒ 8x = 160
⇒ x = 160 / 8
⇒ x = 20
Breadth of rectangle = 20 cm
Length of rectangle = 3x - 5
⇒ 3 (20) - 5
⇒ 3 × 20 - 5
⇒ 60 - 5
⇒ 55
Length of rectangle = 55 cm
Therefore,
The length of the rectangle is 55 cm
The breadth of the rectangle is 20 cm
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