The width of a rectangular rug is 4 1/4 inches longer than twice its length. If the perimeter of the rug is 56 1/2 inches, which

Question

3 years ago

6

equation represents this situation?

1 answer:

olga_2 [115] · Answer 1 · 2023-01-25T01:15:34+03:00

The question requires calculating the perimeter of the rectangular r ug

The equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches

Given:

let

length of the rectangular r ug = x inches

Width of a rectangular r ug = <em>(2x + 4 1/4) inches</em>

Perimeter of the r ug = 56 1/2 inches

<em>Perimeter of the r ug = 2(length + width)</em>

56 1/2 = 2{x + (2x + 4 1/4)

113/2 = 2(x + 2x + 17/4)

113/2 = 2(3x + 17/4)

113/2 = 6x + 34/4

113/2 - 34/4 = 6x

(226-34) / 4 = 6x

192/4 = 6x

48 = 6x

divide both sides by 6

x = 48/6

x = 8 inches

So,

length of the rectangular r ug = x inches

= 8 inches

Width of a rectangular r ug = (2x + 4 1/4) inches

= 2(8) + 4 1/4

= 16 + 4 1/4

= 20 1/4 inches

Therefore, the equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches