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Tagged: geometry
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Rectangles
Posted by John on June 23, 2023 at 11:13 am- A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36 units, what are its length and width?
Lucky replied 3 months, 1 week ago 3 Members · 2 Replies -
2 Replies
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Let the width of the rectangle be x<div>Therefore, the length of the rectangle is 2x.</div><div>
</div><div>Given, the perimeter is 36 </div><div>
</div><div>Perimeter =2(w+l)</div><div>=2(x+2x)=36</div><div>⇒2(3x)=36</div><div>⇒6x=36</div><div>⇒x=6⇒ Width</div><div>2x=12⇒ Length</div><div>
</div><div>Therefore, the length of the rectangle is 12cm and width is 6cm.</div> -
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Let the length of rectangle is l and width is w …
Then according to the question ..
l = 2w..
Given..
Perimeter = 36 unit
We know that –
Perimeter = 2( lenth + width)
And l = 2w then..
36 = 2( 2w + w)
3w = 18
W = 6 and
l = 2*6
l= 12
Then lenth of rectangle of will be 12 and width of rectangle will be 6.