Question

Kurt is designing a table for a client. The table is a rectangular shape with a length 26 inches longer than its width. The perimeter of the table is 316 inches. What is the width of the table in inches?

Answer 1

Width of the table is 66 inches.

Step-by-step explanation:

Perimeter of rectangle is twice of width and length,

i.e. P = 2( l + w )

According to question, length is 26 inches longer than width

∴ l = w + 26

Now,

P = 2( l + w ) = 316 inches

⇒ 316 =  2( l + w )

⇒ 316 =  2( w + 26 + w )       ∵ l = w + 26

⇒ 316 =  4 w + 52

⇒ 264 = 4 w

⇒ w =  66 inches