Question

The the length of rectangle is 7 times its breadth if the perimeter of the rectangle is 208 CM its length will be

Answer 1

Question

The length of rectangle is 7 times its breadth if the perimeter of the rectangle is 208 CM its length will be ?

Solution

Given :-

• The length of rectangle is 7 times its breadth
• the perimeter of the rectangle is 208 cm

Find :-

• Length of rectangle

Explanation

Let,

• Breadth is x cm

So, The length of rectangle is 7 times its breadth

==> Length = 7x.

Using Formula

★ Perimeter of rectangle = 2 * [ Length + breadth ]

Keep value of Length & breadth

==> Perimeter of rectangle = 2 * [ x + 7x ]

==> 208 = 2 * 8x

==> 8x = 208/2

==> 8x = 104

==> x = 104/8

==> x = 13 cm

Hence

• Length of rectangle = 7x = 7 * 13 = 91 cm
• Breadth of rectangle = x = 13 cm

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Answer 2

✬ Length = 91 cm ✬

Step-by-step explanation:

Given:

• Length of a rectangle is 7 times it's breadth.
• Perimeter of rectangle is 208 cm.

To Find:

• What is the measure of length of rectangle ?

Solution: Let the breadth of rectangle be x cm. Therefore,

• Length = 7 times of x = 7x cm

As we know that :-

★ Perimeter of rectangle =2(Length + Breadth)★

But perimeter = 208 cm

A/q

$\implies{\rm }$ 2 ( 7x + x ) = 208 cm

$\implies{\rm }$ 2 $\times$ 8x = 208

$\implies{\rm }$ 16x = 208

$\implies{\rm }$ x = $\dfrac{208}{16}$

$\implies{\rm }$ x = 13 cm

Hence, Breadth of rectangle = x = 13 cm

Length of rectangle = 7x = 7(13) = 91 cm.

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★ Verification ★

➯ 2(Length + Breadth) = 208

➯ 2(91 + 13) = 208

➯ 2 $\times$ 104 = 208

➯ 208 = 208 { Verified }