1 Answer

Mjstam · Answer 1 · 2021-06-20T01:23:15+0000

The perimeter of rectangle is 25.13 feet

Solution:

Given that,

width of a rectangle =
$4(1)/(6) \text{ feet }$

Convert the mixed fraction to improper fraction

$\rightarrow 4(1)/(6) = (6 * 4 + 1)/(6) = (25)/(6)$

Therefore,

$\text{width of rectangle } = (25)/(6) \text{ feet }$

Area of rectangle = 35 feet

The area of rectangle is given by formula:

area = length * width

Substituting the given values, we get

$35 = length * (25)/(6)\\\\length = 35 * (6)/(25) = (42)/(5)$

Thus we get,

$\text{length of rectangle } = (42)/(5) \text{ feet }$

The perimeter of rectangle is given as:

perimeter = 2(length + width)

$perimeter = 2((42)/(5) + (25)/(6))\\\\perimeter =2(8.4+4.167)\\\\perimeter = 2(12.567)\\\\perimeter = 25.13$

Thus perimeter of rectangle is 25.13 feet

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