Question

$<font color = pink > question$
The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2.
→ Find the area of the rectangle in sq.m​

Answer 1

Answer:

L = 100m

B = 40m

See the Attachment❤️

Answer 2

✯✯ QUESTION ✯✯

The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2.

Find the area of the rectangle in sq.m..

━━━━━━━━━━━━━━━━━━━━

✰✰ ANSWER ✰✰

$\longrightarrow{Perimeter=280m.}$

$\longrightarrow{Let\:Length\:be=5x}$

$\longrightarrow{Let\:Breadth\:be=2x}$

$\longrightarrow{\small{\boxed{\bold{\bold{\pink{\sf{Perimeter\:of\:Rectangle=2(l + b)}}}}}}}$

$\longrightarrow{280=2(l+b)}$

$\longrightarrow{\cancel\dfrac{280}{2}=l+b}$

$\longrightarrow{140=l+b}$

Now ,

$\longrightarrow{5x+2x=140}$

$\longrightarrow{7x=140}$

$\longrightarrow{x=\cancel\dfrac{140}{7}}$

$\longrightarrow{\large{\boxed{\bold{\bold{\blue{\sf{x=20}}}}}}}$

So ,

$\longrightarrow{Length=5x}$

$\longrightarrow{5(20)}$

$\longrightarrow{\textbf{Length=100m}}$

$\longrightarrow{Breadth=2x}$

$\longrightarrow{2(20)}$

$\longrightarrow{\textbf{Breadth=40m}}$

_______________________