Question

15. The perimeter of a rectangle is 36 m. Its
length is 2 m greater than its breadth. Find
its length and breadth.​

Answer 1

Answer:

length = 10m,

breadth = 8m

Step-by-step explanation:

Let breadth be b m, so length is (b+2) m.

now, 36 = 2(b + b + 2) = 2(2b+2)

=> 36/2 = 2b+2 = 18

=> 18/2 = 2(b+1)/2

=> b + 1 = 9

=> b = 8 m

so, length = 10 m

Answer 2

AnswEr :

Given Perimeter of the Rectangle = 36 m.

Let's consider that Breadth of the Rectangle = x m.

⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀ $\underline{\boldsymbol{According\: to \:the\: Question :}}$⠀

⠀⠀ $\bullet$ Length of the Rectangle = (2 + x).

⠀⠀⠀⠀⠀⠀ $\star \ \boxed{\frak{\purple{ Perimeter_{(rectangle)} = [ 2 (Length + Breadth)]}}}$

⠀⠀⠀⠀⠀⠀

$:\implies\sf 2(2 + x + x) = 36 \\\\\\:\implies\sf 2(2 + 2x) = 36 \\\\\\:\implies\sf 2 + 2x = \dfrac{\cancel{36}}{\cancel{2}} \\\\\\:\implies\sf 2 + 2x = 18 \\\\\\:\implies\sf 2x = 18 - 2 \\\\\\:\implies\sf 2x = 16 \\\\\\:\implies\sf x = \dfrac{\cancel{16}}{\cancel{2}} \\\\\\:\implies\boxed{\frak{\pink{x = 8}}}$

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀

⠀⠀⠀Now, Finding Length & Breadth :

⠀

$:\implies\sf Breadth = x\\\\\\:\implies\boxed{\frak{\purple{Breadth = 8 \ m}}}$

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━⠀

⠀⠀⠀

$:\implies\sf Length = x + 2\\\\\\:\implies\sf Length = 8 + 2\\\\\\:\implies\boxed{\frak{\purple{Length = 10 \ m}}}$

$\therefore$ Hence, Length & Breadth of the Rectangle is 10 & 8m.