Question

The length of a rectangle is 5cm more than its bredth. its perimeter is 50cm. find its length and breath.​

Answer 1

⛦ Given :

• Length of rectangle is 5cm more than the Breadth.
• Perimeter of rectangle = 50 cm

⛦ To find :

• The Breadth.

⛦ Solution :

Let's assume the Breadth of the rectangle be (x)cm

Then Length of the rectangle will be (x + 5)cm

Perimeter of rectangle = 2(length + Breadth)

Putting the value,

⇝ 50 = 2(x + 5 + x)

⇝ 50/2 = 2x + 5

⇝ 25 = 2x + 5

⇝ 25 - 5 = 2x

⇝ 20 = 2x

⇝ x = 20/2

⇝ x = 10

Thus,

• Breadth of rectangle (x) = 10 cm
• Length of rectangle (x + 5) = 10+5 = 15cm

Check :

Perimeter of rectangle = 2( length + Breadth)

50 = 2(15 + 10)

50 = 2(25)

50 = 2 × 25

50cm = 50cm

Thus, both side the value is same.

Hence, Checked.

Answer 2

$\huge \underline \mathbb \purple {answer}$

$let \: breadth \: of \: rectangle \: be \: x$

$length \: of \: rectangle \: = 5 + x$

$perimeter \: = 2(5 + x + x)$$= 10 + 4x$

$perimeter \: = 50cm$

$10 + 4x = 50$

$4x = 50 - 10$

$4x = 40$

$x \: = \frac{40}{4}$$x \: = 10$

$area \: = length \times breadth$$= 15 \times 10 = 150 \: squad \: cm$

____________________

Additional Information :

Area

ᴀʀᴇᴀ ᴍᴇᴀꜱᴜʀᴇ ᴛʜᴇ ꜱᴜʀꜰᴀᴄᴇ ᴏꜰ ᴀ ꜱɪᴍᴘʟᴇ ᴄʟᴏꜱᴇᴅ ʀᴇɢɪᴏɴ.

ᴛʜᴇ ᴜɴɪᴛꜱ ᴏꜰ ᴛʜᴇ ᴀʀᴇᴀ ᴀʀᴇ ꜱQᴜᴀʀᴇ ᴀɴᴅ ᴜɴɪᴛꜱ ᴏꜰ ᴛʜᴇ ʟᴇɴɢᴛʜ.

ᴛʜᴜꜱ, ᴀʀᴇᴀ ᴄᴀɴ ʙᴇ ᴍᴇᴀꜱᴜʀᴇᴅ ɪɴ ꜱQᴜᴀʀᴇ ᴜɴɪᴛꜱ ꜱᴜᴄʜ ᴀꜱ :-

ᴄᴍ×ᴄᴍ = ꜱQᴜᴀʀᴇ ᴄᴇɴᴛɪᴍᴇᴛᴇʀꜱ

ᴄᴍ×ᴄᴍ = ꜱQᴜᴀʀᴇ ᴄᴇɴᴛɪᴍᴇᴛᴇʀ

ᴍ×ᴍ = ꜱQᴜᴀʀᴇ ᴍᴇᴛᴇʀꜱ

Perimeter

.ᴛʜᴇ ᴡᴏʀᴅ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴄᴏᴍᴇꜱ ꜰʀᴏᴍ ᴛᴡᴏ ɢʀᴇᴇᴋ ᴡᴏʀᴅꜱ ᴘᴇʀɪ ᴀɴᴅ ᴍᴇᴛʀᴏɴ.

ᴘᴇʀɪ ᴍᴇᴀɴꜱ ᴀʀᴏᴜɴᴅ ᴀɴᴅ ᴍᴇᴛʀᴏɴ ᴍᴇᴀɴꜱ ᴍᴇᴀꜱᴜʀᴇ.

ᴘᴇʀɪᴍᴇᴛᴇʀ ɪꜱ ᴛʜᴇ ᴛᴏᴛᴀʟ ᴅɪꜱᴛᴀɴᴄᴇ ᴏꜰ ᴀʟʟ ꜱɪᴅᴇꜱ ᴏꜰ ᴀ ᴄʟᴏꜱᴇᴅ ʀᴇɢɪᴏɴ.