Question

The area of a room is 54 {m?.Ifits breadth is 6 3/4 metres, what is the length of the room?​

Answer 1

Answer: length of the room is =3.42m

Step-by-step explanation:

The two sides at each corner or vertex meet at right angles. Opposite sides of a rectangle are the same length, making it different from a square.

For example, if one side of a rectangle is 20 cm, then the opposite side is also 20 cm.

A rectangle is characterized by length (L) and width (W). Length and width vary in size.

In the figure above, rectangle ABCD has four sides AB, BC, CD, and DA, and right angles A, B, C, and D. The distance between A and B or C and D is defined as length (L), while the distance between B and C or A and D is defined as the width (W) of the given rectangle.

Definition

A rectangle is a type of quadrilateral that has its parallel sides congruent and all four vertices equal to 90 degrees. That is why it is also called an equilateral quadrilateral.

Since the opposite sides are equal and parallel, a rectangle, it can also be called a parallelogram.

Rectangle shape

A rectangle is a two-dimensional flat shape. We can easily represent a rectangle in the XY plane, where the x-axis and y-axis arms show the length and width of the rectangle.

Properties of a rectangle

The rectangle properties are listed below:

• It has four sides and four vertices
• Opposite sides are equal and parallel
• The diagonals bisect each other
• The perimeter is equal to twice the sum of its length and width
• The area is equal to the product of its length and width
• It is a parallelogram with four right angles.
• The sum of all interior angles equals 360 degrees

The area of the rectangle is given by Area=Length*Breadth

In the above question, we have an area of 54 and a breadth of 63/4m and we have to find out the length of the room which is in the shape of a rectangle.

Put the values of area and breadth in the formula of area.

Hence,

$54=(63/4)*length\\length=(54*4)/63\\length=3.42m$

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