Question

The length of the rectangle is three times its width.The perimeter of the rectangle is at most 112 cm .
Which inequality models the relationship between the width and the perimeter of the rectangle
A.
$2w + 2.(3w) \geqslant 112$
B.
$2w + 2.(3w) < 112$
C.
$2w + 2.(3w) > 112$
D.
$2w + 2.(3w) \leqslant 112$
​

Answer 1

Option D is the correct answer

$2w+2.(3w)\leq 112$

Further explanation:

Let

$l\ be\ the\ length\ of\ rectangle\\and\\w\ be\ the\ width\ of\ rectangle$

The perimeter of a rectangle is given by:

$P=2w+2l$

It is also given that:

$P\leq 112$

So we can write as

$2l+2w\leq 112$

We also know that The length of the rectangle is three times its width

$l=3w$

Putting the value of l in the inequality

$2.(3w)+2w\leq 112$

Rearranging the terms

$2w+2.(3w)\leq 112$

Hence, option D is the correct answer.

Keywords: Inequalities, Perimeter

Learn more about inequalities at:

• brainly.com/question/1465430
• brainly.com/question/1626676

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