Question

if the side of a rectangle are doubled, what happens to the area

Answer 1

Initial Area of the rectangle = length * breadth
If the sides are doubled,
Final Area = (2 * length) * (2 * breadth)
Final Area = 4 * length * breadth
Final Area = 4 * Initial Area

So if the sides are doubled then the Area will become 4 times

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Answer 2

The area of the rectangle will be 4 times the initial area of the rectangle.

Given:

The side of a rectangle is doubled  

To find:  

What happens to the area  

Solution:

Formula used:

Area of the rectangle (A)= Length × Width  

Let 'x' be the length and 'y' be the width of the rectangle

Using the formula, A = Length × Width    

Area of the rectangle = x × y = xy

From the data, the Sides are doubled

Length of rectangle = 2x

Width of the rectangle = 2y

Area of the rectangle = (2x)(2y) = 4xy

When the area of the rectangle is compared in both cases, The area of the rectangle after doubled side will be 4 times the initial area of the rectangle.

Therefore,

The area of the rectangle will be 4 times the initial area of the rectangle.

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