Question

The length of the rectangular garden is 3m longer then its width and its perimeter is 26m find the length and width ​

Answer 1

$\large\mathfrak \pink{Solution:-}$

$\underline \mathbb{GIVEN:-}$

➙Length is 3 metres more than its width.

➙Perimeter = 26 metres.

$\underline \mathbb{TO \: FIND:-}$

Length and width or breadth of the rectangular garden.

$\underline \mathbb{FORMULA:-}$

Perimeter of a rectangle = 2 (length + breadth)

$\underline \mathbb{ASSUMPTION:-}$

Let, the width be x metres

and the length be x + 3 metres

$\underline \mathbb{BY \: THE \: PROBLEM:-}$

$2 (length + breadth) = Perimeter \\ \\ \implies \: 2(x + x + 3) = 26\\ \\ \implies \:2 \times (2x + 3) = 26\\ \\ \implies \:4x + 6 = 26\\ \\ \implies \:4x = 26 - 6\\ \\ \implies \:4x = 20 \\ \\ \implies \:x = \cancel\frac{20}{4} \\ \\ \implies \:x = 5$

$\underline \mathbb{ANSWER:-}$

Width = x = 5 metres

Length = x + 3 = 5 + 3 = 8 metres.

$\underline \mathbb{EXTRA\: INFORMATION:-}$

$Diagonal \: of \: a \: rectangle = \sqrt{(length) {}^{2} + (breadth ){}^{2} }$

$Area \: of \: a \: rectangle = Length \times breadth$