12.
A wire is in the shape of a square of perimeter 40 cm. It is rebent in the form of a
rectangle of width 8 cm. Find the area of rectangle. Compare whose area is more, the
square or the rectangle?
Answers
Step-by-step explanation:
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Question
A wire is in the shape of a square of perimeter 40 cm. It is rebent in the form of a rectangle of width 8 cm. Find the area of rectangle. Compare whose area is more, the square or the rectangle?
Answer
Perimeter of Square ⇒ 4 × Side
Perimeter of Square ⇒ 40 cm
Length of 1 side ⇒ Perimeter ÷ 4
Length of 1 side ⇒ 40 ÷ 4 = 10 cm
Area of square ⇒ Side²
Area of square ⇒ 10² = 100 cm²
Perimeter of rectangle ⇒ 2 × (l + b)
Perimeter of rectangle ⇒ 40 cm
Length of breadth ⇒ 8 cm
Length of length ⇒ 2 × (l + 8)
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Area of rectangle ⇒ Length × Breadth
Area of rectangle ⇒ 12 × 8 = 96 cm²
∴The area of square is more than the rectangle.
∴ 100 > 96
∴ The difference between the area of the square and rectangle is 100 - 96 = 4