Question

Austin is helping his mom stain their wooden deck shown in the diagram below.

Part A. How many square feet of the deck do Austin and his mom need to stain?

Part B. If a can of stain covers 200 square feet, how many cans of stain will they need to buy to cover the entire deck?

Answer 1

Explanation:

Part A

Area of the deck = Area of rectangle A + Area of rectangle B

= (12 × 20) + (34 × 8)

= 240 + 272

= 512 square feet

Part B

∵ 200 square feet of the deck is covered by 1 can of stain

∴ 1 square feet of deck will be covered by the can of stain =
`(1)/(200)`

∴ 512 square feet will be covered by the stain =
`(512)/(200)`

= 2.56

≈ 3

Therefore, 3 cans of stains will cover the entire deck.