Question

Que.5 Find the dimension of a rectangular piece of land if its length is 4 more than 2 times its width and the perimeter is 32 metre.​

Answer 1

Answer:

Ghsojbsvcwvabksjbshsjkdbebwjogvndjhsvbdobveegjdbbdd

Answer 2

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

$\:\:$

$\large\underline{\green{\bf Given :-}}$

$\:\:$

• Length is 4 more than 2 times its width

$\:\:$

• Perimeter is 32 metre

$\:\:$

$\large\underline{\red{\bf To \: Find :-}}$

$\:\:$

• Dimensions of rectangle

$\:\:$

$\large\underline{\orange{\bf Solution :-}}$

$\:\:$

• Let the length be "l"

• Let the Width be "b"

$\:\:$

$\purple{\underline \bold{According \: to \: the \ question :}}$

$\:\:$

Length is 4 more than 2 times its width

$\:\:$

➜ 2b + 4 = l ⚊⚊⚊⚊ ⓵

$\:\:$

$\underline{\bold{\texttt{Perimeter of rectangle :}}}$

$\:\:$

➠ 2(Length + Width) ⚊⚊⚊⚊ ⓶

$\:\:$

$\underline{\bold{\texttt{Perimeter of given rectangular land :}}}$

$\:\:$

• Length = l

• Width = b

$\:\:$

⟮ Putting these values in ⓶ ⟯

$\:\:$

➜ 2(Length + Breadth)

$\:\:$

Also given that perimeter is 32 metre

$\:\:$

➜ 32 = 2(l + b)

$\:\:$

➜ l + b = 16 ⚊⚊⚊⚊ ⓷

$\:\:$

⟮ Putting equation ⓵ to ⓷ ⟯

$\:\:$

➜ l + b = 16

$\:\:$

➜ 2b + 4 + b = 16

$\:\:$

➜ 3b = 16 - 4

$\:\:$

➜ 3b = 12

$\:\:$

➨ b = 4 ⚊⚊⚊⚊ ⓸

$\:\:$

• Hence the width of rectangular land is 4 m

$\:\:$

⟮ Putting b = 4 from ⓸ to ⓷ ⟯

$\:\:$

➜ l + b = 16

$\:\:$

➜ l + 4 = 16

$\:\:$

➜ l = 16 - 4

$\:\:$

➨ l = 12

$\:\:$

• Hence the length of rectangular land is 12 m

$\:\:$

∴ The dimensions of rectangular land is 12m and 4m

$\:\:$

═════════════════════════