Question

Ryan is having two walls painted. the small wall is 11 by 17 feet. the larger wall is twice as long and twice as wide. a painter charges by the square foot for walls. The cost of the smaller wall is $25. How much should Ryan expect to pay for the larger wall?

Answer 1

D ($100)

Explanation:

Since the painter charges by the square foot, it will help to find the square footage of each wall. Area is used to determine square footage and the area formula for a rectangle is A = l · w.

The area of the small wall is: 11 ft.× 17 ft. = 187 ft2

The area of the large wall is : 22 ft. × 34 ft. = 748 ft2

Determine how many times bigger the area of the large wall is compared to the area of the small wall.

748 ÷ 187 = 4 times larger

The area of the large wall (748 ft2) is 4 times larger than the area of the small wall (187 ft2)

The area of the large wall is 4 times bigger than the area of the small wall so the price should be 4 times greater than the $25 charged for the small wall.

4 × $25 = $100

Answer 2

let s small wall and l large wall,

s= 11*17=187 ft²

l= 2(187ft²)= 374 ft²

25/187=x/374

x=50$ is the answer