Question

One side of a paralleogram is 3 by 4 times its adjacent side if the parallelogram is 70 cm find the sides of a parallelogram

Answer 1

Given that the Parallelogram is having perimeter of 70 cm

Perimeter of Parallelogram is 2( l + b )

Given that One side is 3/4 of its adjacent side

So let length be x

Then breadth is 3x / 4

We can use this formula to find the sides measure.

$2(l + b) = 2(x + \frac{3x}{4} ) = 70 \: cm \\ (x + \frac{3x}{4} ) = 70 \div 2 = 35 \: cm$
Taking LCM we get

$\frac{4x + 3x}{4 } = 35 \\ 7x = 35 \times 4 \\ x = 35 \times 4 \div 70 \\ x = 140 \div 70 = 2$
So X = 2 and breadth is 3 * 2 / 4 = 3 / 2

Hope this helps !!

Cheers !!