Question

The length of a rectangle is 3 metres more than the width.if the perimeter is 22 metres , find the length and the width

Answer 1

Let Breath=x metres
Then length=(x+3)metres
Perimeter=2(l+b)
2(x+x+3)=22
2x+2x+6=22
4x+6=22
4x=22-6
4x=16
x=
$\frac{16}{4}$
x=4
Breath=4metres
Length4+3=7 metres
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Answer 2

$<b>$ Let the width of the rectangle is x metres,


So, length of rectangle, 3 metres more than width, ( x + 3 ) metres





Given that the perimeter of the rectangle is 22 metres. We know that the perimeter of any rectangular shaped quadrilateral is 2( length + breadth ) . Comparing the condition with formula ( identity ).





= > perimeter = 2( length + breadth )


= > 22 = 2{ ( x + 3 ) + x }


= > 22 / 2 = x + 3 + x


= > 11 = 2x + 3


= > 11 - 3 = 2x


= > 8 = 2x


= > 2 × 4 = 2 × x


= > 4 = x





Hence,



Breadth of the rectangle = x metres = 4 metres


Length of the rectangle = ( x + 3 ) metres = ( 4 + 3 ) metres = 7 metres






Breadth of the rectangle is 4m.

Length of the rectangle is 7 m.