Answer:
The area of the rectangular deck is 36 sq feet.
Step-by-step explanation:
Let the width of the deck = k ft
So, the length of the deck = (4k) ft
Now, perimeter = 30 ft
PERIMETER OF A RECTANGLE = 2(LENGTH + WIDTH)
⇒2( k + 4k) = 30
or, 2 x 5k = 30 ⇒ 10k = 30
⇒ k = 30/10 = 3
So, the width of the deck = k = 3 ft
Length of the deck = 4k = 3 x 4 = 12 ft
Now, AREA OF A RECTANGLE = LENGTH X WIDTH
So, the area of the rectangular deck = 3 ft x 12 ft
= 36 sq feet
Hence, the area of the rectangular deck is 36 sq feet.
