Question

the length of two adjacznt side of a parallegram are in ratio 4:7 and its perimeter is 132cm. find the lengt of all sidze of parallegram

Answer 1

Hola there,

According to the question;

Length of adjacent side of parallelogram are in ratio 4:7

So, let one side be = 4x
And other side be = 7x

As, we know that opposite side of a parallelogram are equal therefore

Area of parallelogram = 2(adjacent sides)

=> 132 = 2 × 7x + 2 × 4x

=> 14x + 8x = 132

=> 22x = 132

=> x = 6

Therefore side of parallelogram = 7x = 42
and 4x = 24

So, all sides of parallelogram are = 42, 24, 42, 24

Hope this helps....:)

Answer 2

Hi friend
--------------
Your answer
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Ratio of teri adjacent sides of a parallelogram = 4:7

Perimeter of the parallelogram = 132 cm

Now,
---------

Let the bv 4x and 7x respectively.

Then,
-----------

2(4x + 7x) = 132

=> 11x = 132/2

=> x = 66/11

=> x = 6

Therefore,
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Breadth of the parallelogram = 4x = (4 × 6) cm = 24 cm

Length of the parallelogram = 7x = (7 × 6) cm = 42 cm

All sides of the parallelogram are 24cm ,42 cm ,24 cm and 42 cm.

HOPE IT HELPS