Question

find the area of a rectangle which has the same perimeter as that of square having side 12m. (given that length of a rectangle is 2m)​

Answer 1

Step-by-step explanation:

Area of rectangle= length×breadth

let's assume

Length (L) = 12m

Breadth(B) =2m

Area of rectangle= length ×breadth

=12×2

= 24 m

Answer 2

Step-by-step explanation:

Given:-

• The side of square is 12 m
• The length of rectangle is 2 m.

To find:-

• The area of rectangle

Required Formula:-

• Area of rectangle = l × b
• Perimeter of rectangle = 2(l+b)

Solution:-

As we know that,

• Area of square = side × side

Let,

• breadth be x
• l = 2
• side = 12

Applying the values,

$\\ :\implies\sf{Area\;of\;square\;=\;12 \times 12}\\ \\ :\implies\sf{Area\;of\;square\;=144 \;m}$

According to the question,

• The perimeter is same as the area of square

Then,

$\\ :\implies\sf{Perimeter \;of\;rectangle\;=\;2(l + b)}\\ \\ :\implies\sf{144\;=\;2(2+b)}\\ \\ :\implies\sf{\frac{144}{2}\;=2+b}\\ \\ :\implies\sf{72=2+b}\\ \\ :\implies\sf{b = 72-2}\\ \\ :\implies\sf{b = 70}$

Now,finding the area of rectangle,

$\\ :\implies\sf{Area\;of\;rectangle\;=\;l \times b}\\ \\ :\implies\sf{Area\;of\;rectangle\;=2 \times 70}\\ \\ :\implies\sf{Area\;of\;rectangle\;=140 m^2}$

• Therefore,the area of rectangle is 140 m².