3. A wire bent in the shape of a rectangle. Its length is 30cm and breadth is 15em and if the same wire is rebent in the shape of a square. What will be the measure of slides and which encloses more area
Answers
Answer:
22.4 will be ach side
Step-by-step explanation:
as the perimeter will be 30 + 30 +15 + 15 = 90
90÷4 = 22.5
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Answer:
A wire bent in the shape of a rectangle. Its length is 30cm and breadth is 15cm and if the same wire is rebent in the shape of a square. Hence square shape encloses more area.
Step-by-step explanation:
Length of the rectangle = 30 cm
Breadth of the rectangle = 15 cm
Since the same length of wire is used to form a rectangle and square, we can say that,
perimeter of square = perimeter of the rectangle
4 × Side = 2 (Length + Breadth)
4 × Side = 2 (30 + 15)
4 × Side = 2 × 45
4 × Side = 90
Side = 90/4
Side of square = 22.5 cm
Area of square = side × side
= 22.5 cm × 22.5 cm
= 506.25 sq.cm
Area of rectangle = Length × Breadth
= 30 cm × 15 cm
= 450 sq.cm
Hence, square shape encloses more area.