Question

4.Sides of a rectangle are in the ratio 14:3. If the perimeter of the rectangle is 170 cms, find the length and breadth.
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Answer 1

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Answer 2

Question:

Sides of a rectangle are in the ratio 14:3. If the perimeter of the rectangle is 170 cms, find the length and breadth.

Given:

• Sides of a rectangle are in the ratio 14:3.
• Perimeter of the rectangle is 170cm.

To Find:

• The length and breadth of Rectangle.

Solution:

Let the sides of Rectangle be $\bold{x\: cm}$. Therefore,

$\sf{l\ratio b=14\ratio 3}$. So,

Length= 14x —(1)

and, Breadth= 3x —(2)

We are given that perimeter of Rectangle is 170cm. To find the perimeter of Rectangle. We use the following formula,

$\hookrightarrow\mathsf{Perimeter\: of\: Rectangle=2(l+b)}$

Substituting all the values in the formula. We get,

$\rightarrow\mathsf{Perimeter\: of\: Rectangle=2(l+b)}$

$\rightarrow\mathsf{170cm=2(14x+3x)}$

$\rightarrow\mathsf{\large{\frac{170}{2}}=(14x+3x)}$

$\rightarrow\mathsf{85=14x+3x}$

$\rightarrow\mathsf{85=17x}$

$\rightarrow\mathsf{\large{\frac{85}{17}}=x}$

$\rightarrow\mathsf{x=5}$

Substituting value of x in equation (1) and (2). We get,

$\sf{Length=14(5)=70}$

$\sf{Breadth=3(5)=15}$

Hence, length and breadth of Rectangle is 70cm & 15cm respectively.

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