Question

The ratio between the length and breadth of a rectangle is 5:4.If the perimeter of the rectangle is 90 m, find its length and bread

Answer 1

Step-by-step explanation:

ANSWER

Let the length and breadth of a rectangle be x,y respectively

Given Ratio of length and breadth of the rectangle is 3:1

⟹x:y=3:1⟹

y

x

=

1

3

⟹x=3y

Perimeter of a rectangle is 36 cm

⟹2(x+y)=36

⟹3y+y=18⟹y=

4

18

=4.5

⟹x=3y=3×4.5=13.5

The length and breadth of a rectangle is 4.5 cm,13.5 cm respectively

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Answer 2

Answer:

$\huge \sf{ \underline{given \ \: : }}$

$\sf \: 5 \ \: : 4 \: is \: the \: ratio$

$\sf \: perimeter \: of \: the \: rectangle \\ \sf{90 \: cm \: . \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

$\huge \sf{ \underline{to \: find \ \: : }}$

$\sf{length \: and \: breath \: of \: the \: rectangle}$

$\huge \sf{ \underline{let \: us \: solv e\ \: : }}$

$\sf{ \underline{ \underline{note \ \: : }}}$

$\bf \: perimeter \: of \: rectangle \ \: :$

$\sf2(length \: + \: breadth)$

$\sf \to2(5x + 4x) = 90$

$\sf \to2(9x) \: = \: 90$

$\sf \to9x \: = \: \frac{90}{2}$

$\sf \to9x = 45$

$\sf \to \: x = \frac{45}{9}$

$\bf \to \: x = 5$

$\sf{ \underline{let \: us \: substute}}$

$\sf \: l \: = \: 5x$

$\sf \: l \: = \: 5\times5$

$\sf \: l \: = \: 25$

$\sf \: b \: = \: 4x$

$\sf \: b\: = \: 4\times5$

$\sf \: b \: = \: 20$