Question

The length and breadth of a rectangular plot are in the ratio of 4:3, if perimeter is 140m, it's area will be​

Answer 1

Step-by-step explanation:

length=4x

Breadth=3x

2(4x+3x)=140

or,8x+6x=140

or,14x=140

or,x=10

length=40m

breadth=30m

area=(40×30)=1200m²

hope it'll help you make it brainliest answer please and follow

Answer 2

Question:

The length and breadth of a rectangular plot are in the ratio of 4:3, if perimeter is 140m, it's area will be

Required To Find:

The Area of Rectangle

╬S☉LUTION:

Given,

Perimeter of Rectangle = 140m

Ratio of Sides of Rectangle = 4:3

Let's,

Length of Rectangle = 4x

Breadth of Rectangle = 3x

$\boxed {\sf{Perimeter\;of\;Rectangle = 2(l+b)}}$

$➝\:{\bf{2(4x+3x) = 140}}$

$➝\:{\bf{2(7x) = 140}}$

$➝\:{\bf{7x = \frac {140}{2}}}$

$➝\:{\bf{x = \frac {70}{7}}}$

$➝\:{\bf{x = 10m}}$

Now, Substitute value of x = 10.

Length = 4×10 = 40m

Breadth = 3×10 = 30m

$\boxed{\sf{Area\:of\:Rectangle = l×b}}$

$➝\:{\bf{40×30}}$

$➝\:{\bf{1200}}$

$\pink{\underline{\underline{\bf{Required\;AnSweR:}}}}$

Area of Rectangle ☞ $\fbox\red{1200m²}$

Hope It Helps You ✌️