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A rectangle has a width of 3 units and a length of 4 units. Nancy needs to increase both the length and the width of the rectangle by 2 units.

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Which statement describes how the area of the rectangle will change?

1 Answer

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Explanation:

The length of a rectangle, l = 3 units

The breadth of a rectangle, b = 4 units

Nancy needs to increase both the length and the width of the rectangle by 2 units.

The area of a rectangle is given by

A = length(l) × breadth(b)

Here,

A = 3 × 4

= 12 unit²

If both length and width of the rectangle increase by 2 units,

New length = (4+2) = 6 units

New width = (3+2) = 5 units

New area = 6 × 5 = 30 unit²

Hence, new area becomes 30 unit².

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