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Question

(B) Let the breadth of the rectangle be $x \ cm$. Then,the length of the rectangle is $5x \ cm$. The perimeter of a rectangle is given by $P = 2(	ext

Vedclass · Accepted Answer

Breadth $\geq 15 \ cm$

Vedclass · Answer

(B) Let the breadth of the rectangle be $x \ cm$. Then,the length of the rectangle is $5x \ cm$. The perimeter of a rectangle is given by $P = 2(	ext{length} + 	ext{breadth})$. Substituting the values,$P = 2(5x + x) = 2(6x) = 12x$. Given that the minimum perimeter is $180 \ cm$,we have $P \geq 180$. Therefore,$12x \geq 180$. Dividing both sides by $12$,we get $x \geq 15$. Since $x$ represents the breadth,the breadth must be at least $15 \ cm$.

The length of a rectangle is five times the breadth. If the minimum perimeter of the rectangle is $180 \ cm$,then:

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