Question

The length of rectangular plot exceeds it's breath by 5m. If the parameter of plot is 142m find the dimensions of the plot?​

Answer 1

AnSwEr -:

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The breadth of the rectangular plot

is 33 metres.

The length of rectangular plot 38 meters

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Step by Step Explanation-:

Let’s breadth of the rectangular plot

be x m.

So ,

According to the question,

The length = (x + 5) m

Given,

Perimeter of rectangular plot = 142 m

Formula of perimeter of Rectangle-:

2(length + breadth) = 142 m



⇒ 2(x + 5 + x) = 142

⇒ 2x + 5 = 142 / 2

⇒ 2x + 5 = 71

⇒ 2x = 71 - 5

⇒ 2x = 66

⇒ x = 66 / 2

⇒ x = 33

Therefore,

Breadth of Rectangle =x m = 33m

Length of Rectangular plot -: (x + 5)

= 33 +5

= 38 m


Hence,

The breadth of the rectangular plot

is 33 metres.

The length of rectangular plot 38 meters

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Perimeter of a Rectangle Formula

“P = 2 (l + b)”

Area of rectangle formula-:

“A = l x b”

Here ,

A = Area

B = Breadth

P = Perimeter

L= length

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Answer 2

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Given

• Perimeter of plot = 142m

To Calculate

• Dimensions of plot

Solution

Let the breadth be x.

then, Length will be( x + 5)

According to question,

$\bf2(l + b) = Perimeter$

$\bf \implies 2(x + (x + 5)) = 142m$

$\bf \implies 2(x + x + 5) = 142$

$\bf \implies 2x + 5 = 142 \div 2$

$\bf \implies 2x + 5 = 71$

$\bf \implies 2x = 71 - 5$

$\bf \implies 2x = 66$

$\bf \implies x = 66 \div 2$

$\bf \implies x = 33m$

• Breadth = x = 33m
• Length = x + 5 = 33 + 5 = 38m

Therefore, Breadth and Length of plot is 33m and 38m respectively.

Additionally

• The expression on the left of the equality sign is the Left Hand Side (LHS). The expression on the right of the equality sign is the Right Hand Side (RHS)

• A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a variable.