The perimeter of a rectangle of sides 35 cm and 24 cm is equal to the perimeter
of a square. Find the side and area of the square.
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The perimeter of a rectangle of sides 35 cm and 24 cm is equal to the perimeter
of a square. Find the side and area of the square.
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GIVEN:
Perimeter of rectangle = Perimeter of square
Length = 35 cm, Breadth = 24 cm
ANSWER:
Side = 29.5 cm, Area = 870.25 cm²
SOLUTION:
Perimeter of the rectangle = 2(Length + Breadth)
= 2(35 + 24)
= 2 × 59
= 118
Perimeter of rectangle is 118 cm
∴ Perimeter of square is also 118 cm [Given]
Let the length of one side of the square be "x"
We know that, perimeter of a square = 4 × Side
==> 4x = 118
==> x = 29.5
∴ One side of square is 29.5 cm
Now, area of a square = Side x Side
==> Required area of square = 29.5 × 29.5
= 870.25
∴ Area of the square is 870.25 cm²