Question

The leangth of rectangle is 10m more than its breadth. If the perimeter of rectangle is 80m, Find the dimensions of the rectangle.​

Answer 1

The perimeter of an object is the sum of all it's lengths. So in this problem, 80m = side1 + side2 + side3 + side4.

Now a rectangle has 2 sets of equal length sides.

So 80m = 2xSide1 + 2xSide2

And we are told that the length is 10m more than it's breadth.

So 80m = 2xSide1+(10+10) + 2xSide2

So 80m = 2xS1+20 +2S2

80 = 2x + 2y + 20

If it were a square, x + y would be the same

so

60 = 4x side1

so side 1 = 60/4 = 15m

So side 1 = 15m, side 2 = 15m, side 3 = 15m+10m side 4 = 15+10m

So s1 = 15m, s2 = 15m, s3 = 25m, s4 = 25m.

Perimiter = 80m and the length of th e rectangle is 10m longer than the breadth

Answer 2

Answer:

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: Correct Question :- \: \star}}}}}$

The length of a rectangle is 10 m more than its bredth. if the perimeter of rectangle is 80 m . find the demensions of rectangle.

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

$\red{\bigstar}$ Length [l]

$\huge\leadsto{\sf\purple{25 \: m}}$

$\red{\bigstar}$ Breadth [B]

$\huge\leadsto{\sf\purple{15 \: m}}$

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

Length of a rectangle is 10 m more than its breadth

So , if we let unknown breadth be "x"

Then our length will become ( x + 10 )

❥ Perimeter of Rectangle ↠ 80m

$\Large{\underline{\underline{\bf{Find:-}}}}$

❥ What's the Dimensions of Rectangle ?

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

Here we go !

As we know ,

Perimeter of Rectangle = 2( L + B )

Now,

As according to given

↠ Perimeter of Rectangle = 2 ( x + x + 10)

↠ 80 = 2 ( 2x + 10 )

↠ 80/2 = 2x + 10

↠ 40 = 2x + 10

↠ 2x = 30

↠ x = 15.

Hence,

The Value of x is 15

$\therefore\underline{\boxed{\textsf{The value of x is = {\textbf{15}}}}} \qquad\qquad \bigg\lgroup\bold{Correct \ answer} \bigg\rgroup$

Therefore,

↠ Length

↠ x + 10

↠ 15 + 10 ↠ 25

↠ Breadth = x = 15.

Additional Information :-

❥ Perimeter of Rectangle = 2( L + B )

❥ Perimeter of square = 4 × Side

❥ Perimeter of triangle = AB + BC + CA

❥ Area of Rectangle = L × B

❥ Area of Square = ( side ) ²

❥ Area of Rhombus = Product of Diagonal/2.

❥ Area of Parallelogram = Base × Height.

❥ Area of triangle = 1/2 × base × height .

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