Question

The length of a rectangular deck is 4 times its width if the decks perimeter is 30 ft, what is the decks area

Answer 1

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.