Question

the breadth of a parallelogram is 2/3rd it's length.if perimeter is 150 meters. the dimensions of parallelogram are

Answer 1

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Step-by-step explanation:

Answer 2

Concept:

The term "parallelogram" refers to a quadrilateral with two sets of parallel sides. A parallelogram has opposite sides that are the same length and angles that are the same size. In addition, the interior angles on the same side that are further than the transversal. Together, all interior angles measure 360 degrees.

Given:

The breadth of the parallelogram is two third of its length.

The perimeter of the parallelogram is 150 meters.

Find:

The dimensions of the parallelogram.

Solution:

Let the length of the parallelogram be $l$.

Therefore, the bread of the parallelogram will be $b=\frac{2}{3}l$.

Now the perimeter of the parallelogram is given as 150 meters.

The perimeter of a parallelogram with length and breadth as a and b is expressed as:

P = 2(a + b)

$150 =2(l+\frac{2}{3}l)$

$75=\frac{5}{3}l$

$l=45 m$

Therefore, the breadth of the parallelogram is $b=\frac{2}{3}(45)=30\text{m}$.

The length and breadth of the parallelogram are 45 meters and 30 meters respectively.

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