The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. 10 in.
Answers
Answer:
Given that Perimeter of a rectangle is 16 inches
=> 2 ( l + b ) = 16 inches
Dividing by 2 on both sides we get,
=> ( l + b ) = 8 inches
So the sum of length and width adds up to 8 inches.
So possible values of Length must be less than 8 inches.
Option A is right answer as it is the only option where the length is less than 8 inches.
Hence 7 inches is the answer.
In the given question,
l represents the length of the rectangle.
w represents the breadth of the rectangle.
Given equation for the perimeter of the rectangle is 2l + 2w = 16.
⇒ 2l + 2w = 16
⇒ 2( l + w ) = 16
⇒ l + w = 16 / 2
⇒ l + w = 8
Length or breadth of any quadrilateral cannot be negative, so breadth should of 1 unit atleast, so length cannot be more than ( 8 - 1 ) that is 7 units.
So value which is possible for length of the rectangle is 7