Question

Area of a carpet is 220.The width is 9less than length Find perimeter​

Answer 1

Answer:

The perimeter of the carpet is p = 62 yards.

Step-by-step explanation:

Since the width w is 9 yards less than the length, then

w = l - 9

Then the area of the rectangular carpet

= l × w

= l (l - 9)  

= (l² - 9l)

According to the question,

l² - 9l = 220

⇒ l² - 9l - 220 = 0

⇒ l² - 20l + 11l - 220 = 0

⇒ l (l - 20) + 11 (l - 20) = 0

⇒ (l - 20) (l + 11) = 0

Since length cannot be negative, then l = 20 yards.

Thus width (w) = (20 - 9) yards = 11 yards

Thus the perimeter of the rectangular carpet

p = 2 (length + width)

= 2 (20 + 11)  

= 2 × 31  

= 62 yards