Writing an inequality for x that would give this rectangle a perimeter of at least 300 ft. length: 3ft width formula: x+5ft show steps!

142≤ x.

Step-by-step explanation:

Given : rectangle a perimeter of at least 300 ft and Length: 3ft  and width formula: x+5ft.

To find : Writing an inequality for x that would give this rectangle a perimeter.

Solution : We have given length = 3 ft.

Width = x + 5 ft .

Perimeter =  300 feet .

Perimeter = 2 ( length + width ) .

Plugging the values and greater than equal to sign for at least.

300 ≤ 2( 3 + x +5).

300≤ 2( 8 +x) .

300≤ 16 + 2x

On subtracting both sides by 16.

300 -16 ≤ 2x .

284 ≤ 2x.

On dividing both sides by 2.

142≤ x.

We can say x is at least 142.

Therefore, 142≤ x.

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