Question

1.the perimeter of a rectangle is 70 cm. if its length exceeds its breadth by 5 cm find the dimension of the rectangle.​

2.what is the meaning of dimension
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Answer 1

Answer

Length = 20 cm

Breadth = 15 cm

Given

The perimeter of a rectangle is 70 cm. if its length exceeds its breadth by 5 cm

To Find

Dimensions of the rectangle

Formula Used

$\bf Perimeter\ of\ rectangle=2(l+b)\ \bigstar$

Solution

Let the length of the rectangle be " l "

Breadth of the rectangle be " b "

A/c , " if its length exceeds its breadth by 5 cm "

⇒ l = b + 5 ... (1)

Given , Perimeter of the rectangle = 70 cm

⇒ 2 ( l + b ) = 70

⇒ l + b = 35

⇒ ( b + 5 ) + b = 35 [ From (1) ]

⇒ 2b = 35 - 5

⇒ 2b = 30

⇒ b = 15 cm

On sub. b value in (1) , we get ,

⇒ l = (15) + 5

⇒ l = 20 cm

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Dimension :

A measurable extent such as length , breadth , height , width , thinkness .... etc.

Measurement of length in one direction is called 1-D .

In two directions it is called 2-D ,.... etc.

Answer 2

Step-by-step explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

• The perimeter of the rectangle = 70cm

• The length exceeds its breadth by 5cm

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• The dimensions of the rectangle

• Here dimensions in the sense length and breadth of the rectangle.

${\green{\underline{\underline{\bold{Solution:-}}}}}$

According to the given question:-

Let the breadth of the rectangle be x

Length of the rectangle = 5 + x

As we know that:-

Perimeter of the rectangle is given by the formula 2(l + b)

Given , perimeter = 70cm

So:-

$\sf \implies2(l + b) = 70$

$\sf \implies2(5 + x + x) = 70$

$\sf \implies2(5 + 2x) = 70$

$\sf \implies10+ 4x = 70$

$\sf \implies 4x= 70 - 10$

$\sf \implies 4x= 60$

$\sf \implies x= \dfrac{60}{4}$

$\sf \implies x= 15$

Therefore:-

Breadth of rectangle = x = 15cm

Length of rectangle = x + 5 = 15 + 5 = 20cm

$\boxed{ \rm \purple{ \therefore \: The \: dimensions \: of \: the \: rectangle \: = 15cm \: ,\: 20cm}}$

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Dimension:-

Dimension is the measurement of size of something such as length, breadth , height or diameter of a particular object in a particular direction