Question

Divide 108 boules UI JUICU The sides of a quadrilateral are in the ratio 1:2:3:4 and its perimeter is 40 cm. Find the los side.​

Answer 1

Answer:

4, 8, 12, and 16

Explanation:

In a quadrilateral the sides are in ratio 1 : 2 : 3 : 4

And its perimeter is 40cm.

Find the sides.

Let's assume the common ratio as x cm.

Then, the sides are 1x, 2x, 3x, and 4x

We know that,

Perimeter of a quadrilateral is sum of all sides.

According to the question,

⇒ 1x + 2x + 3x + 4x = 40

⇒ 10x = 40

⇒ x = 40/10

⇒ x = 4

∴ The value of x is 40 metres

Hence, the sides of the quadrilateral are :-

• 1x = 4 metres
• 2x = 8 metres
• 3x = 12 metres
• 4x = 16 metres.

________________________

Quick check :-

We got the sides of the quadrilateral as 4, 8, 12, and 16 metres.

Since, the perimeter given is 40 metres. Then, there sum must be 40 metres.

So,

= 4 + 8 + 12 + 16

= 40 metres

Hence, our answer is correct

Answer 2

G ɪ ᴠ ᴇ ɴ :

• The sides of quadrilateral are in the ratio 1 : 2 :3 4.

• It's perimeter is 40 cm.

T ᴏ ғ ɪ ɴ ᴅ :

• Find its side..!!

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Let's assume that sides are 1x , 2x , 3x , 4x.

${ \underline{ \boxed{ \tt \green{Perimeter \: of \: quadrilateral \: = Sum \: of \: all \: sides}}}}$

$\begin{gathered} \sf{ \therefore \: 40 = x + 2x + 3x + 4x } \\ \\ : \implies \: \sf40 = 10x \\ \\ : \implies \: \sf \: x = \cancel\frac{40}{10} \\ \\ : \implies \: \sf \: x = 4 \end{gathered}$