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

Question

2 years ago

10

respectively?

2 answers:

tresset_1 [31] · Answer 1 · 2023-08-14T13:17:14+03:00

8 0

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

Length is 24
Width is 16

olasank [31] · Answer 2 · 2023-08-14T14:23:38+03:00

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

<h3>What is rectangle?</h3>

"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.

Learn more about rectangle here

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