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