Question

04 - One side of a rectangular field is 30 m and one of its diagonals is
34 m. Find the area of the field.​

Answer 1

Answer: 480 cm^2

Step-by-step explanation:

I've provided explanation in image below please mark as brainliest it it helps you.

Answer 2

Gɪᴠᴇɴ :-

• One side(l) = 30 m

• One diagonal(d) = 34 m

ᴛᴏ ғɪɴᴅ :-

• Area of the field

sᴏʟᴜᴛɪᴏɴ :-

Now,

➦ In rectangle all angles are right angles.

So,

➢ By using Pythagoras Theorem, We get,

➨ (d) ² = (l) ² + (b) ²

Here,

➟ d = diagonal

➟ l = length

➟ b = breadth

So,

➛ On putting the above values in it, we get,

↦ (34)² = (30)² + (b) ²

↦ 1156 = 900 + b²

↦ b² = 1156 - 900

↦ b² = 256

↦ b = √256

↦ b = 16

Hence,

➦ Other side = 16 m

Now,

➦ Area of Rectangle = l × b

➦ l × b = 30 × 16

➦ l × b = 480 m²

➲ ᴍᴏʀᴇ ғᴏʀᴍᴜʟᴀs :-

Rᴇᴄᴛᴀɴɢʟᴇ ➘

• Area = l × b

• Perimeter = 2(l + b)

• Diagonal (d) = √l² + b²