Question

5.
A square and a rectangle have the same perimeter, Calculate the area of the rectangle if the side of the square is
60cm and the length of the rectangle is 80cm.​

Answer 1

Step-by-step explanation:

The area is 3200 cm square

hope it helps mark as brainliest

Answer 2

✍ Gɪᴠᴇɴ :-

• Perimeter of Square = Perimeter of Rectangle

• Side (a) of the square = 60cm

• Length (l) of the rectangle = 80cm

✍ Tᴏ Fɪɴᴅ :-

• Area of the Rectangle

✍ Sᴏʟᴜᴛɪᴏɴ :-

Now,

It is given that,

➦ Perimeter of Square = Perimeter of Rectangle

So,

➦ Perimeter of Square = 4a = 4× 60 = 240 cm

➦ Perimeter of Rectangle = 2(l + b) = 240 cm

→ 2(l + b) = 240

→ (l + b) = 240/2 = 120

→ 80 + b = 120

→ b = 120 - 80 = 40

→ b = 40 cm

Now,

We know that,

➥ Area of Rectangle = l × b

➥ l × b = 80 × 40 = 3200 cm²

✟ Mᴏʀᴇ Fᴏʀᴍᴜʟᴀs :-

Square➴

• Area = a²

• Perimeter = 4a

Rectangle ➴

• Area = l × b

• Perimeter = 2(l + b)