Question

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Answer 1

Answer:

The dimensions of the ||gm is :

➪ Length = 6cm.

➪ Length of the adjacent (breadth) = 4cm.

Explanation:

Question says that, The length of one side of a parallelogram is ⅔ times the length of its adjacent side. The perimeter is 20cm. Find the dimensions of the parallelogram.

Step 1 :

Let's consider, the length of one side as $‘x’$

Then, the other adjacent side will be ⅔ of $x$

Or,

$\dfrac{2x}{3}$

Here, the adjacent side is the breadth of the parallelogram as it is rectangular shape.

Step 2 :

We know that,

Perimeter of a rectangle = 2(l + b)

• l (length) = ${x}{}$
• b (breadth) = $\dfrac{2x}{3}$
• Perimeter of the rectangle = 20cm (given)

So,

$\implies 2 \bigg(\frac{2x}{3} + x \bigg) = 20$

$\implies 2\bigg( \frac{2x + 3x}{3} \bigg) = 20$

$\implies 2 \bigg( \frac{5x}{3} \bigg) = 20$

$\implies \frac{10x}{3} = 20$

$\implies 10x = 20 \times 3$

$\implies x = \frac{20 \times 3}{10}$

$\implies x = 6$

∴ The length of the ||gm is 6cm.

And also, the breadth will be :

→ ⅔ of 6

→ 4cm.

The breadth will be 4cm.

Answer 2

Answer:

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Explanation:

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