Length and width of rectangle are $(x + 4)$ & $(x - 1)$ , then the area of the rectangle is.

x^{2} + 3 x - 4

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x^{2} + 3 x + 4

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x^{2} - 3 x - 4

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Solution

The correct option is A $x^{2} + 3 x - 4$
We know that,
Area of rectangle = length $\times$ breadth
= $(x + 4) \times (x - 1)$
Using distributive property of multiplication
= $x (x - 1) + 4 (x - 1)$
= $x^{2} - x + 4 x - 4$
= $x^{2} + 3 x - 4$
Thus, the area of rectangle is $x^{2} + 3 x - 4$ in expanded form.

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