A rectangular sheet of 84×34cm . How many square pieces of side 10cm could be cut from this sheet. And also find the area of remaining sheet?
Answers
Given:
A rectangular sheet of 84 cm × 34 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?
Solution:
The dimensions of the rectangular sheet:
Length = 84 cm
Breadth = 34 cm
∴ The area of the rectangular sheet = length × breadth = 84 × 34 = 2856 cm²
The dimensions of each square piece:
Side = 10 cm
∴ The area of each square piece = side² = 10² = 100 cm²
Finding the no. of square pieces that can be cut:
No. of square sheets cut from the given rectangular sheet is,
=
=
=
rounding off to the nearest
≈
Finding the area of the remaining sheet:
So,
The area of 28 square pieces will be = 28 × 100 cm² = 2800 cm²
∴ The area of the remaining sheet after cutting 28 square sheets is,
= [Area of the rectangular sheet] - [Area of 28 square sheets]
= 2856 cm² - 2800 cm²
= 56 cm²
Thus,
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Dear Student,
★ Answer :
➠ 56 pieces of side 10 cm could be cut from the Remaining sheet .
The Area of the Remaining Sheet is 56cm²
___________________________
★ Explanation :
➼ Given:
A rectangular sheet of 84 cm × 34 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?
____________________________
➼ Solution :
The dimensions of the rectangular sheet:
⇒ Length = 84 cm
⇒ Breadth = 34 cm
∴ The area of the rectangular sheet = length × breadth = 84 × 34 = 2856cm²
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,
=
=
= 28.56
Rounding off to the nearest
≈ 28
➥ Then,
Finding the area of the remaining sheet:
The area of 28 square pieces will be = 28 × 100 cm² = 2800 cm²
∴ The area of the remaining sheet after cutting 26 square sheets is,
= [Area of the rectangular sheet] - [Area of 26 square sheets]
= 2856 cm² - 2800 cm²
= 56 cm²
______________________________
Answer : 56 pieces of side 10 cm could be cut from the Remaining sheet .
The Area of the Remaining Sheet is 56cm²