Question

Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 140.

Select the correct answer below and fill in the answer box to complete your choice.
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Answer 1

Given:

Length of the rectangle = $x+4$

Width of the rectangle = $x$

The perimeter of the rectangle is less than 140.

To find:

The inequality for the given situation and solve it.

Solution:

We have,

$l=x+4$

$w=x$

We know that, the perimeter of a rectangle is

$P=2(l+w)$

$P=2(x+4+x)$

$P=2(2x+4)$

$P=4x+8$

It is given that the perimeter of the rectangle is less than 140.

$P<140$

$4x+8<140$

$4x<140-8$

$4x<132$

Divide both sides by 4.

$x<\dfrac{132}{4}$

$x<33$

Therefore, the correct option is A because the sign of inequality is < and the solution of inequality is $x<33$.