write a polynomial expression that represents the area of a trapezoid with bases of 6x-5 and 4x+7, and a height of x+1.
1 answer:
Answer:
A = 5x² + 6x + 1
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = 
h (a + b)
where h is the height and a, b the parallel bases, thus
A = (x + 1)(6x - 5 + 4x + 7)
= (10x + 2)(x + 1)
= (5x + 1)(x + 1) ← distribute using FOIL
= 5x² + 6x + 1
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