Question

area of rectangular sheet of aluminium is 400 CM square if the breadth of the sheet is 16 centimetre find its length and also find the perimeter of aluminium sheet

Answer 1

★ QUESTION :

ᴀʀᴇᴀ ᴏғ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ sʜᴇᴇᴛ ᴏғ ᴀʟᴜᴍɪɴɪᴜᴍ ɪs 400 ᴄᴍ sϙᴜᴀʀᴇ ɪғ ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ᴏғ ᴛʜᴇ sʜᴇᴇᴛ ɪs 16 ᴄᴇɴᴛɪᴍᴇᴛʀᴇ ғɪɴᴅ ɪᴛs ʟᴇɴɢᴛʜ ᴀɴᴅ ᴀʟsᴏ ғɪɴᴅ ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴀʟᴜᴍɪɴɪᴜᴍ sʜᴇᴇᴛ.

➠ GIVEN :

• Area of the rectangular sheet of aluminium = 400 cm²

• The breadth of the sheet = 16 cm

➠ TO FIND :

• The length and perimeter of the aluminium sheet = ?

➠ STEP - BY - STEP EXPLAINATION :

Here, let us consider the length of aluminium sheet as 'x'

Area of Rectangle = Length × Breadth

Now, Here after substituting the value as per the formula Length × Breadth

➠Area of the rectangle = L × B

➠ 400 cm² = x × 16 cm

➠ x = 400/16 = 25 cm

Therefore, after finding the length of the rectangle, we get the length of rectangle as 25 cm.

Now, we will find here the perimeter of the rectangle,

➠ Length = 25 cm and Breadth = 16 cm

➠ Perimeter of the rectangle = 2 × (l + b)

After substituting the value,

➠ P = 2 ×( l + b )

➠ P = 2 × (25 + 16)

➠ P = 2 × 41

➠ P = 82 Cm

Therefore, the perimeter of the rectangle = 82 Cm

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⭐REQUIRED INFORMATION⭐

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• Length of the rectangle = 25 cm

• Breadth of the rectangle = 16 cm

• Area of the rectangle = 400 cm²

• Perimeter of the rectangle = 82 cm