Question

The length of a rectangular field is 8m and breadth is 2m. If a square field has the same perimeter as this rectangular field. Find which field has the greater area.​

Answer 1

ǫᴜᴇsᴛɪᴏɴ :-

• The length of a rectangular field is 8m and breadth is 2m. If a square field has the same perimeter as this rectangular field. Find which field has the greater area.

ᴀɴsᴡᴇʀ :-

ʟᴇᴛ ʟ ᴀɴᴅ ʙ ᴀʀᴇ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴀɴᴅ ᴛʜᴇ ɴʀᴇsᴅᴛʜ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ.

ɢɪᴠᴇɴ :-

ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ = ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ sǫᴜᴀʀᴇ

$\implies\small{2\times(L+B) = 4\times side}$

⇒ 2×(8+2)m = 4×side

⇒ 2×10 m = 4×side

$\implies\small{ side = \frac{2\times 10}{4}m = 5m }$

Area of the rectangular block = length×breadth

⇒ 8m×2m = $\small{16 m^2}$

Let, the side of square is A.

∴ Area of square = $\small{A^2 = (5m)^2 = 25m^2}$

Square field area has the greater than the rectangular field area.

____________________________________________________________________________________

Answer 2

Answer:

20m

Step-by-step explanation:

perimeter of rectangular field=perimeter of square field

2(8m+2m)=perimeter of square field

perimeter=20m

side of square field=20m/4=5m