Question

the length of a rectangle is thrice it's breadth. find the length and breadth if there perimeter is 88​

Answer 1

Given :

• The length of a rectangle is thrice it's breadth.
• The perimeter of the rectangle is 88.

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To Find :

The Length and breadth of the rectangle.

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Solution :

We know that,

`\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_((rectangle))}}}`

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Let's assume the breadth of the rectangle as x cm. Then the length will become 3x.

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Now, Substituting the given values in the formula :

`\qquad \dashrightarrow{ \sf{2(x + 3x )= 88}}`

`\qquad \dashrightarrow{ \sf{2(4x)= 88}}`

`\qquad \dashrightarrow{ \sf{8x= 88}}`

Dividing 8 by both sides :

`\qquad \dashrightarrow{ \sf{ (8x)/(8) = (88)/(8) }}`

`\qquad \dashrightarrow{ \bf{x= 11}}`

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Therefore,

`\qquad { \pmb{ \bf{ Breadth _((rectangle)) = 11}}}\:`

`\qquad { \pmb{ \bf{ Length _((rectangle)) = 3 * 11 \: = 33}}}\:`