Question

a rectangular laboratory has a length equal to one and a half times its width and a perimeter of 40m. find its length and width respectively?

Answer 1

L=1.5w
P=l+w
40=2.5 w
W=16
L=1.5(16) =24

Length is 24
Width is 16

Answer 2

Length and width of the rectangular laboratory is equals to 12m and 8m respectively.

What is rectangle?

"Rectangle is defined as the quadrilateral whose pair of opposite sides are parallel and congruent to each other. Each angle is of measure 90°."

Formula used

Perimeter of the rectangle = 2( length + width)

According to the question,

Perimeter of the rectangular laboratory = 40m

'l' represents the length of the rectangular laboratory

'w'  represents the width of the rectangular laboratory

As per the given condition we have,

$l= 1\frac{1}{2} w$

 $= \frac{3}{2} w$

Substitute the value in the formula of the perimeter we get,

   $2(l + w) = 40$

⇒ $(l +w) = \frac{40}{2}$

⇒ $( \frac{3}{2} w+ w) =20$

⇒$\frac{5}{2} w= 20$

⇒$w= 8 m$

Therefore,

$l= \frac{3}{2} (8)$

  $=12m$

Hence, length and width of the rectangular laboratory is equals to 12m and 8m respectively.

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