Question

How many square pieces of 10 cm side can be cut
from a sheet 84 x 32 cm. Find the area of the sheet
unused. What is the percentage wastage in this
case?​

Answer 1

Answer:

4 pieces and 0.2 cm² paper wasted

Step-by-step explanation:

see the attached image

Answer 2

Dear Student,

★ Answer :

➠  26 pieces of side 10 cm could be cut from the Remaining sheet .

The Area of the Remaining Sheet is 88cm²

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★ Explanation :

➼ Given:

A rectangular sheet of 84 cm × 32 cm  

➼ To find:

How many square pieces of side 10cm could be cut from this sheet. And also find the area of the remaining sheet?

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➼ Explanation :

The dimensions of the rectangular sheet:  

Length = 84 cm  

Breadth = 32 cm  

∴ The area of the rectangular sheet = length × breadth = 84 × 32 = 2688cm²  

The dimensions of each square piece: Side = 10 cm    

∴ The area of each square piece = side² = 10² = 100 cm²

Then,  

⇒ Finding the no. of square pieces that can be cut:  

No. of square sheets cut from the given rectangular sheet is,

= $\frac{ Area OF Rectangular sheet }{Area of Each Square Piece}$  

= $\frac{2688}{100}$  

= 26.88

Rounding off to the nearest  

≈ 26

Finding the area of the remaining sheet:  

So,  

The area of 28 square pieces will be = 26 × 100 cm² = 2600 cm²  

∴ The area of the remaining sheet after cutting 26 square sheets is,  

= [Area of the rectangular sheet] - [Area of 26 square sheets]  

= 2688 cm² - 2600 cm²  

= 88 cm²

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Answer : 26 pieces of side 10 cm could be cut from the Remaining sheet .

The Area of the Remaining Sheet is 88cm²

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