Question

find the length of the room whose area is 96sq.m and breadth is 6m.​

Answer 1

Answer:

Length of room = 16m .

Step-by-step explanation:

Area of room = 96sq.m.

Breadth of room = 6m

Length of room = Area / Breadth

= 96 / 6

= 16m

Answer 2

$\underline{\underline{\pmb{\sf{Understanding\; the\; Question\;:}}}}$

Here, the concept of Area of rectangle has been used. We are given with the area of a room and it's breadth. We've been asked to calculate it's length. The question is preety simple. Here we need to equate all the values given, in the area of rectangle formula and transpose the values accordingly.

$\underline{\underline{\pmb{\sf{Formula\; used\;:}}}}$

$\qquad\star\; \underline{\boxed{\pmb{\frak{Area\; of\; rectangle=length\times breadth}}}}$

$\underline{\underline{\pmb{\sf{Required\; Solution\;:}}}}$

Given that:

⋆ Area of the room is 96 m².

⋆ Breadth of the room is 6 m.

To Attain:

⋆ The length of the room.

Now, area of rectangle is calculated as:

$\\:\implies\quad\sf{Area\; of\; rectangle=length\times breadth}$

$\\:\implies\quad\sf{96\; {m}^{2}=length\times 6\; m}$

$\\:\implies\quad\sf{\cancel{\dfrac{96\; {m}^{2}}{6\; m}}=length}$

$\\:\implies\quad\underline{\boxed{\pmb{\frak{length=16\; m}}}}$

$\underline{\underline{\pmb{\sf{Required\; Answer\;:}}}}$

$\qquad\leadsto$ The required length of the room is 16 metres.

$\underline{\underline{\pmb{\sf{Required\; Diagram\;:}}}}$

$\begin{gathered}\begin{gathered} \sf{Area = 96 \: {m}^{2}}\: \: \: \: \: \: \: \: \: \: \: \\ \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\bf { \red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf \: \sf{ }} \\ \\ { \sf{ }}\end{array}}\end{gathered}\end{gathered} \quad \sf{6\: m}\end{gathered}\end{gathered}$

$\begin{gathered}\rule{230px}{.2ex}\\\end{gathered}$

Additional Information:

• Area of square = side × side
• Area of triangle = 1/2 × b× h
• Area of trapezium = 1/2 (a + b) × h
• Area of parallelogram = b × h
• Area of circle = π × r²
• Area of rhombus = 1/2 × d1 × d2