Question

A wire is in the shape of a rectangle of dimensions 25m × 11m. If the same wire is rebent in the shape of a square, what will be the measure of each side.

Answer 1

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Given dimensions of a rectangle wire :-

Length = 25 m

Breadth = 11 m

Area of the rectangle = 25 × 11 = 275 m²

Now,

Rectangular wire is converted into the shape of the square.

But,

Area of the rectangular wire = Area of square - shaped wire

•°• Area of the square - shaped wire = 275 m²

Also,

Area of the square = (side)²

•°• (side)² = 275

side = √275

side = √5 × 5 × 11

side = 5√11 m

•°• Side of square = 5√11 m

$\huge\mathbb{Hope \ this \ helps.}$