Question

If the length of a rectangluar piece of marble is 3x units and breadth is 5y units then find its area?​

Answer 1

SOLUTION

GIVEN

The length of a rectangular piece of marble is 3x units and breadth is 5y units

TO DETERMINE

The area

CONCEPT TO BE IMPLEMENTED

RECTANGLE

In geometry a rectangle is defined as a

• Four sided flat shape

• Every angle is a right angle (90°)

• Opposite sides are parallel

• Opposite sides are of equal length

FORMULA TO BE IMPLEMENTED

If in an rectangle length = a unit and breadth = b unit

Area of the rectangle = ab sq.unit

EVALUATION

Here it is given that length of a rectangular piece of marble is 3x units and breadth is 5y units

Hence the area of the rectangular piece

$= \sf{ 3x.5y\: } \: \: sq \: unit$

$= \sf{ 15xy\: } \: \: sq \: unit$

FINAL ANSWER

The area of the rectangular piece

$= \sf{ 15xy\: } \: \: sq \: unit$

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Answer 2

♣ Qᴜᴇꜱᴛɪᴏɴ :

• If the length of a rectangluar piece of marble is 3x units and breadth is 5y units then find it's area?​

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 3x}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 5y}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

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♣ ᴀɴꜱᴡᴇʀ :

• Area of Rectangle = 15xy sq. units

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♣ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴꜱ :

Area of Rectangle = Length × Breadth

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large Length}\multiput(-1.4,1.4)(6.5,0){2}{\sf\large Breadth}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

So we have :

Length = 3x units

Breadth = 5y units

Area of Rectangle = Length × Breadth

⇒ Area of Rectangle = 3x units × 5y units

⇒ Area of Rectangle = 15xy (unit)²

⇒ Area of Rectangle = 15xy sq. units

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 3x}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 5y}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$