Question

What is the answer of this question ?

Answer 1

Length = 51 centimeters

Width = 19 centimeters

Explanation:

Length = l

Width = w

Length is 3w - 6

l = 3w - 6

P = 2l + 2w

The perimeter is given, plug in the values.

140 = 2(3w - 6) + 2w

140 = 6w - 12 + 2w

140 + 12 = 8w

152 = 8w

w = 19

The width is 19cm.

l = 3w - 6

l = 3(19) - 6

l = 57-6

l = 51

The length is 51 cm.

Answer 2

`\boxed{\red{width = 19 cm} }\\ \boxed{\red{</p><p>length = 3x-6}} \\ </p><p> \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\red{= 51 cm}}</p><p>`

Explanation:

let the width be x

Let's find the length

`3x - 6`

Perimeter of a rectangle

`p = 2(length + width) \\ p = 2(3x - 6 + x) \\ p = 6x - 12 + 2x \\ p = 8x - 12 \\`

given that,

`p = 140`

so,

`140 = 8x - 12 \\ 140 + 12 = 8x \\ 152 = 8x \\ x = 19`

therefore,

width = 19 cm

length = 3x-6

= 51 cm