A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio. The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[ (12+2x) + 15+2x) ]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Question

Mathematics

Britney Mason

28 February, 22:03

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio. The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[ (12+2x) + 15+2x) ]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

+3

Answers (2)

Know the Answer?

Kendall Mcneil · Answer 1

12 x 14 = 168 square feet.

If the pavers were 1 foot by 1 foot we would need 168 pavers

BUT ... your paver is 8 inches which is 8/12 or 2/3 of a foot.

It is 2/3 times 2/3 or 4/9 square ft

168 divided by 4/9

which is the same as 168 times 9/4

That will get you to 378.

Leticia Michael · Answer 2

The correct answer is A) 2 1/2 feet