Question

A rectangle has a width of 5 cm and a length of 10 cm. If the length is halved, how does the perimeter change? A. The perimeter is halved. B. The perimeter is doubled. C. The perimeter is decreased by 5. D. The perimeter is decreased by 10. E. The perimeter is decreased by 20.

Answer 1

Answer:

D. The perimeter is decreased by 10.

Step-by-step explanation:

Width = 5cm

Length = 10cm

Finding the original perimeter:

P = 2(l+b)

= 2(10+5)

= 2(15)

= 30cm

Since the length has been halved,

length = 10/2 = 5cm

Now, substituting the values into the perimeter of a rectangle formula:

P = 2(l+b)

= 2(5+5)

= 2(10)

= 20cm

Since the original perimeter is 30cm and the updated perimeter is 20cm,

the perimeter has decreased by 10.

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