Question

A square and a rectangle have the same perimeter. Calculate the area of the rectangle if the side of the square is 60 cm and the length of the rectangle is 80 cm.

Note:
- Need full Explanation
- Don't Spam​

Answer 1

Step-by-step explanation:

Given- 4a = 2(l+b)

a=60,l=80

To find= area of rectangle

ACQ

4a= 2(l+b)

therefore 4×60= 2(l+b)

240=2(80+b)

120 - 80= b

40 = b

area of rectangle= l×b

=80×40

= 3200cmsq

Answer 2

Answer:

3200m²

Step-by-step explanation:

Perimeter of square formula = 4 × side of the square

Hence,

P (square) = 4 × 60 = 240 m

Perimeter of rectangle formula = 2 × (Length + Breadth)

Hence,

P (rectangle) = 2 (80 + Breadth) = 160 + 2 × Breadth

According to the given question,

➩160 + 2 × Breadth = 240

➩2 × Breadth = 240 – 160

➩Breadth = 80/2

➩Breadth of the rectangle = 40 m  

Now,

The area of rectangle = Length × Breadth = 80 × 40 = 3200m²