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sattari [20]
3 years ago
11

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.​

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

A = 5x² + 6x + 1

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (a + b)

where h is the height and a, b the parallel bases, thus

A = \frac{1}{2} (x + 1)(6x - 5 + 4x + 7)

   = \frac{1}{2} (10x + 2)(x + 1)

   = (5x + 1)(x + 1) ← distribute using FOIL

   = 5x² + 6x + 1

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