2 years ago

The side lengths of a rectangle are described as (2x−3) inches and (5x+7) inches.

Mathematics

1 answer:

anastassius [24]2 years ago

7 0

Answer:

(a) 10x^2−x−21

Step-by-step explanation:

The area of a rectangle is given by the formula ...

A = LW . . . . . where L is the length, and W is the width

The area of the given rectangle will be ...

A = (2x -3)(5x +7)

This product is simplified using the distributive property to eliminate parentheses. Then like terms are combined.

A = 2x(5x +7) -3(5x +7)

= (2x)(5x) +(2x)(7) -3(5x) -3(7)

= 10x^2 +14x -15x -21

A = 10x^2 -x -21

The expression 10x^2 -x -21 represents the area of the rectangle in square inches.

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