Question

10
The length of the rectangle is p cm. The perimeter of the rectangle is 40 cm.
The perimeter is 8 less than 4 times the length of the rectangle.​

Answer 1

Answer:

length=12cm

breadth=8cm

Area=96cm²

Step-by-step explanation:

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Answer 2

Correct question:

The length of a rectangle is p cm.The perimeter of the rectangle is 40 cm.The perimeter is 8 less than 4 times length of rectangle.Find the length & breadth of rectangle.

Given

• Length of rectangle = p cm
• Perimeter = 40 cm
• Perimeter = (2 × Length) - 8

To find

• Length & breadth of rectangle

Solution

As we know,

◗Perimeter of rectangle = 2(l + b)

Putting all values

⇒ 40 = 2(p + b)

⇒ p + b = 40/2

⇒ p + b = 20

⇒ p = 20 - b ------ EQuation (1)

Case 2

⇒ 40 = 4p - 8

⇒ 4p = 40 + 8

⇒ 4p = 48

⇒ p = 48/4

⇒ p = 12 cm

So, length of rectangle = 12 cm

Putting this value in Equation (1)

⇒ 12 = 20 - b

⇒ 12 - 20 = -b

⇒ -8 = -b

⇒ b = 8

So, breadth of rectangle = 8 cm

Therefore,

∴ Length & breadth of rectangle are 12 cm & 8 cm respectively.