Question

Mr. Williams is painting only the back of his barn. A gallon of paint covers 70 square feet. How many square feet will Mr. Williams be painting? How many gallons of paint does he need to buy? A) 264 ft2; 4 gallons B) 264 ft2; 3 gallons C) 276 ft2; 4 gallons D) 276 ft2; 3 gallons

Answer 1

A) 264 ft2; 4 gallons

Explanation:

Right answer on usatestprep

Answer 2

Option A. 264 ft² ; 4 gallons

Explanation:

Given question is incomplete; find the complete question in the attachment.

From the picture attached,

Area of the barn to be painted = Area of the (rectangular base + Triangular top) - Area of the window

Area of the rectangular base = 12 × 18

= 216 ft²

Area of the triangular top =
`(1)/(2)(\text{Base}* \text{Height})`

=
`(1)/(2)(12)(28-18)`

= 60 square feet

Area of the window = 3 ft × 4 ft

= 12 ft²

Total area to be painted = 216 + 60 - 12

= 264 ft²

∵ 70 square feet of the barn is covered by the amount of paint = 1 gallon

∴ 1 square feet will be covered by the amount =
`(1)/(70)` gallons

∴ 264 square feet will be painted by =
`(264)/(70)`

= 3.77 gallons

≈ 4 gallons

Therefore, Option (A). 264 ft²; 4 gallons will be the answer.