Question

If the area of a rectangular plot is 667 sq. m and its breadth is 29 m. Find the length and the perimeter​

Answer 1

$\Large{\underbrace{\underline{\textsf{Understanding the Question}}}}$

Here in this question, concept of perimeter as well as area of rectangle is used. We are given area of rectangle and it's width. We are asked to find perimeter and length of rectangle. We can easily find both of them by applying formula for area and perimeter of rectangle.

So let's start!!

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★ Given:-

• Area of rectangular plot=667m²

• Breadth of rectangular plot=29m

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★ To find:-

• Perimeter of plot

• length of plot

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★ Formula used:-

• Area of rectangle=Length×Breadth

• Perimeter of rectangle=2(Length+Breadth)

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★ Solution:-

Let's apply formula of area to find length of plot

Area of rectangular plot=Length×Breadth

⇒ 667m²=Length×29m

⇒ 667m²/29m=Length

⇒ 23m=length

So the length of the plot is 23m.

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Now finding perimeter of plot:

Perimeter of rectangular plot=2(L+B)

Perimeter of rectangular plot=2(23m+29m)

Perimeter of rectangular plot=2(52m)

Perimeter of rectangular plot=104m

So the perimeter of plot is 104m.

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★ Required Answers:-

• Length of plot=23m

• Perimeter of plot=104m

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Answer 2

Given :-

• Area of Rectangle = 667m²
• Breadth of Rectangle = 29m

To Find :-

• Length of the Rectangle
• Perimeter of the Rectangle

Solution :-

❏ As we know that Area of Rectangle is given by Length × Breadth so by applying this we will find the Length of the Rectangle and after this we will find the Perimeter of the Rectangle by applying 2 ( Length + Breadth ).

➞ Area of Rectangle = Length × Breadth

➞ 667 = Length × 29

➞ 667 / 29 = Length

➞ 23m = Length

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⟾ Perimeter of Rectangle = 2 ( L + B )

⟾ Perimeter of Rectangle = 2 ( 23 + 29 )

⟾ Perimeter of Rectangle = 2 × 52

⟾ Perimeter of Rectangle = 104m

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Therefore :

• Length of Rectangle = 23m
• Perimeter of Rectangle = 104m

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★ Additional Info :

Formulas Related to Rectangle :

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

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